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refactor(hott/*): remove 'Module:' lines

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Jeremy Avigad 2015-05-23 20:52:58 +10:00
parent 8bebd104ff
commit 33214f0895
81 changed files with 0 additions and 162 deletions
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2
hott/algebra/binary.hlean
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/- /-
Copyright (c) 2014-15 Microsoft Corporation. All rights reserved. Copyright (c) 2014-15 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.binary
Authors: Leonardo de Moura, Jeremy Avigad Authors: Leonardo de Moura, Jeremy Avigad
General properties of binary operations. General properties of binary operations.

2
hott/algebra/category/adjoint.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.precategory.adjoint
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/algebra/category/category.hlean
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/- /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved. Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.category
Author: Jakob von Raumer Author: Jakob von Raumer
-/ -/

2
hott/algebra/category/constructions/comma.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.constructions.comma
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
Comma category Comma category

2
hott/algebra/category/constructions/default.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.constructions.default
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/algebra/category/constructions/functor.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.constructions.functor
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
Functor precategory and category Functor precategory and category

2
hott/algebra/category/constructions/hset.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.constructions.hset
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
Category of hsets Category of hsets

2
hott/algebra/category/constructions/opposite.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.constructions.opposite
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
Opposite precategory and (TODO) category Opposite precategory and (TODO) category

2
hott/algebra/category/constructions/product.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.constructions.product
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
Functor product precategory and (TODO) category Functor product precategory and (TODO) category

2
hott/algebra/category/default.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.default
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/algebra/category/functor.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.functor
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
-/ -/

2
hott/algebra/category/groupoid.hlean
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/- /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved. Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.groupoid
Author: Jakob von Raumer Author: Jakob von Raumer
Ported from Coq HoTT Ported from Coq HoTT

2
hott/algebra/category/iso.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.iso
Author: Floris van Doorn, Jakob von Raumer Author: Floris van Doorn, Jakob von Raumer
-/ -/

2
hott/algebra/category/nat_trans.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.nat_trans
Author: Floris van Doorn, Jakob von Raumer Author: Floris van Doorn, Jakob von Raumer
-/ -/
import .functor .iso import .functor .iso

2
hott/algebra/category/precategory.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.precategory
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/
import types.trunc types.pi arity import types.trunc types.pi arity

2
hott/algebra/category/strict.hlean
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/- /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved. Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.strict
Authors: Floris van Doorn, Jakob von Raumer Authors: Floris van Doorn, Jakob von Raumer
-/ -/

2
hott/algebra/category/yoneda.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.yoneda
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/algebra/field.hlean
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/- /-
Copyright (c) 2014 Robert Lewis. All rights reserved. Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.field
Authors: Robert Lewis Authors: Robert Lewis
Structures with multiplicative and additive components, including division rings and fields. Structures with multiplicative and additive components, including division rings and fields.

2
hott/algebra/fundamental_group.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.fundamental_group
Authors: Floris van Doorn Authors: Floris van Doorn
fundamental group of a pointed space fundamental group of a pointed space

2
hott/algebra/group.hlean
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/- /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved. Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.group
Authors: Jeremy Avigad, Leonardo de Moura Authors: Jeremy Avigad, Leonardo de Moura
Various multiplicative and additive structures. Various multiplicative and additive structures.

2
hott/algebra/hott.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.algebra.hott
Author: Floris van Doorn Author: Floris van Doorn
Theorems about algebra specific to HoTT Theorems about algebra specific to HoTT

2
hott/algebra/order.hlean
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/- /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved. Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.order
Author: Jeremy Avigad Author: Jeremy Avigad
Various types of orders. We develop weak orders "≤" and strict orders "<" separately. We also Various types of orders. We develop weak orders "≤" and strict orders "<" separately. We also

2
hott/algebra/ordered_group.hlean
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/- /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved. Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.ordered_group
Authors: Jeremy Avigad Authors: Jeremy Avigad
Partially ordered additive groups, modeled on Isabelle's library. We could refine the structures, Partially ordered additive groups, modeled on Isabelle's library. We could refine the structures,

2
hott/algebra/ordered_ring.hlean
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/- /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved. Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.ordered_ring
Authors: Jeremy Avigad Authors: Jeremy Avigad
Here an "ordered_ring" is partially ordered ring, which is ordered with respect to both a weak Here an "ordered_ring" is partially ordered ring, which is ordered with respect to both a weak

2
hott/algebra/relation.hlean
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/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.relation
Author: Jeremy Avigad Author: Jeremy Avigad
General properties of relations, and classes for equivalence relations and congruences. General properties of relations, and classes for equivalence relations and congruences.

2
hott/algebra/ring.hlean
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/- /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved. Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.ring
Authors: Jeremy Avigad, Leonardo de Moura Authors: Jeremy Avigad, Leonardo de Moura
Structures with multiplicative and additive components, including semirings, rings, and fields. Structures with multiplicative and additive components, including semirings, rings, and fields.

2
hott/arity.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.path
Author: Floris van Doorn Author: Floris van Doorn
Theorems about functions with multiple arguments Theorems about functions with multiple arguments

2
hott/core.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: core
Authors: Floris van Doorn Authors: Floris van Doorn
The core of the HoTT library The core of the HoTT library

2
hott/cubical/pathover.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: cubical.pathover
Author: Floris van Doorn Author: Floris van Doorn
Theorems about pathovers Theorems about pathovers

2
hott/cubical/square.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: cubical.square
Author: Floris van Doorn Author: Floris van Doorn
Theorems about square Theorems about square

2
hott/hit/circle.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.circle
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of the circle Declaration of the circle

2
hott/hit/coeq.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.coeq
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of the coequalizer Declaration of the coequalizer

2
hott/hit/colimit.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.colimit
Authors: Floris van Doorn Authors: Floris van Doorn
Definition of general colimits and sequential colimits. Definition of general colimits and sequential colimits.

2
hott/hit/cylinder.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.cylinder
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of mapping cylinders Declaration of mapping cylinders

2
hott/hit/pushout.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.pushout
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of the pushout Declaration of the pushout

2
hott/hit/quotient.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.quotient
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of set-quotients Declaration of set-quotients

2
hott/hit/sphere.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.circle
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of the n-spheres Declaration of the n-spheres

2
hott/hit/suspension.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.suspension
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of suspension Declaration of suspension

2
hott/hit/trunc.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.trunc
Authors: Floris van Doorn Authors: Floris van Doorn
n-truncation of types. n-truncation of types.

2
hott/hit/type_quotient.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.type_quotient
Authors: Floris van Doorn Authors: Floris van Doorn
Type quotients (quotient without truncation) Type quotients (quotient without truncation)

2
hott/init/bool.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.bool
Authors: Leonardo de Moura Authors: Leonardo de Moura
-/ -/

2
hott/init/datatypes.hlean
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/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.datatypes
Authors: Leonardo de Moura, Jakob von Raumer Authors: Leonardo de Moura, Jakob von Raumer
Basic datatypes Basic datatypes

2
hott/init/default.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.default
Authors: Leonardo de Moura, Jakob von Raumer Authors: Leonardo de Moura, Jakob von Raumer
-/ -/

2
hott/init/equiv.hlean
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/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.equiv
Author: Jeremy Avigad, Jakob von Raumer Author: Jeremy Avigad, Jakob von Raumer
Ported from Coq HoTT Ported from Coq HoTT

2
hott/init/function.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.function
Author: Leonardo de Moura Author: Leonardo de Moura
General operations on functions. General operations on functions.

2
hott/init/funext.hlean
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/- /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved. Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.funext
Authors: Jakob von Raumer Authors: Jakob von Raumer
Ported from Coq HoTT Ported from Coq HoTT

2
hott/init/hit.hlean
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/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.hit
Authors: Floris van Doorn Authors: Floris van Doorn
Declaration of the primitive hits in Lean Declaration of the primitive hits in Lean

2
hott/init/logic.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.logic
Authors: Leonardo de Moura Authors: Leonardo de Moura
-/ -/

2
hott/init/nat.hlean
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/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.nat
Authors: Floris van Doorn, Leonardo de Moura Authors: Floris van Doorn, Leonardo de Moura
-/ -/
prelude prelude

2
hott/init/num.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.num
Authors: Leonardo de Moura Authors: Leonardo de Moura
-/ -/

2
hott/init/path.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.path
Authors: Jeremy Avigad, Jakob von Raumer, Floris van Doorn Authors: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/init/priority.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.priority
Authors: Leonardo de Moura Authors: Leonardo de Moura
-/ -/

2
hott/init/relation.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.relation
Authors: Leonardo de Moura Authors: Leonardo de Moura
-/ -/

2
hott/init/reserved_notation.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.reserved_notation
Authors: Leonardo de Moura Authors: Leonardo de Moura
-/ -/
prelude prelude

2
hott/init/tactic.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.tactic
Author: Leonardo de Moura Author: Leonardo de Moura
This is just a trick to embed the 'tactic language' as a Lean This is just a trick to embed the 'tactic language' as a Lean

2
hott/init/trunc.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.trunc
Authors: Jeremy Avigad, Floris van Doorn Authors: Jeremy Avigad, Floris van Doorn
Definition of is_trunc (n-truncatedness) Definition of is_trunc (n-truncatedness)

2
hott/init/types.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved. Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.types
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn, Jakob von Raumer Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn, Jakob von Raumer
-/ -/

2
hott/init/ua.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved. Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.ua
Author: Jakob von Raumer Author: Jakob von Raumer
Ported from Coq HoTT Ported from Coq HoTT

2
hott/init/util.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.util
Author: Leonardo de Moura Author: Leonardo de Moura
Auxiliary definitions used by automation Auxiliary definitions used by automation

2
hott/init/wf.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved. Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: init.wf
Author: Leonardo de Moura Author: Leonardo de Moura
-/ -/

2
hott/types/W.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.W
Author: Floris van Doorn Author: Floris van Doorn
Theorems about W-types (well-founded trees) Theorems about W-types (well-founded trees)

2
hott/types/arrow.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.arrow
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/bool.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.bool
Authors: Floris van Doorn Authors: Floris van Doorn
Theorems about the booleans Theorems about the booleans

2
hott/types/default.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.default
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/types/eq.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.eq
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/equiv.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.equiv
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/fiber.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.fiber
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/function.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.function
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/hprop_trunc.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved. Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.hprop_trunc
Authors: Jakob von Raumer, Floris van Doorn Authors: Jakob von Raumer, Floris van Doorn
Proof of the theorem that (is_trunc n A) is a mere proposition Proof of the theorem that (is_trunc n A) is a mere proposition

2
hott/types/int/basic.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.int.basic
Authors: Floris van Doorn, Jeremy Avigad Authors: Floris van Doorn, Jeremy Avigad
The integers, with addition, multiplication, and subtraction. The representation of the integers is The integers, with addition, multiplication, and subtraction. The representation of the integers is

2
hott/types/int/default.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.int.default
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/types/int/hott.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Floris van Doorn. All rights reserved. Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.int.hott
Author: Floris van Doorn Author: Floris van Doorn
Theorems about the integers specific to HoTT Theorems about the integers specific to HoTT

2
hott/types/nat/basic.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.nat.basic
(Ported from standard library file data.nat.basic on May 02, 2015) (Ported from standard library file data.nat.basic on May 02, 2015)
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad

2
hott/types/nat/default.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.nat.default
Authors: Floris van Doorn Authors: Floris van Doorn
-/ -/

2
hott/types/nat/order.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.nat.order
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad
The order relation on the natural numbers. The order relation on the natural numbers.

2
hott/types/nat/sub.hlean
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@ -3,8 +3,6 @@ Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad Authors: Floris van Doorn, Jeremy Avigad
Module: data.nat.sub
Subtraction on the natural numbers, as well as min, max, and distance. Subtraction on the natural numbers, as well as min, max, and distance.
Ported from standard library Ported from standard library

2
hott/types/pi.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014-15 Floris van Doorn. All rights reserved. Copyright (c) 2014-15 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.pi
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/pointed.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved. Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.pointed
Authors: Jakob von Raumer, Floris van Doorn Authors: Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/prod.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014 Floris van Doorn. All rights reserved. Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.prod
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/sigma.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2014-15 Floris van Doorn. All rights reserved. Copyright (c) 2014-15 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.sigma
Author: Floris van Doorn Author: Floris van Doorn
Ported from Coq HoTT Ported from Coq HoTT

2
hott/types/trunc.hlean
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@ -1,8 +1,6 @@
/- /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved. Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE. Released under Apache 2.0 license as described in the file LICENSE.
Module: types.trunc
Authors: Floris van Doorn Authors: Floris van Doorn
Properties of is_trunc and trunctype Properties of is_trunc and trunctype