feat(library/init): create markdown directory file

library/init/default.lean

@@ -2,6 +2,7 @@
 Copyright (c) 2014 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 
+Module: init.default
 Authors: Leonardo de Moura
 -/
 prelude

library/init/init.md

@@ -0,0 +1,44 @@
+init
+====
+
+The modules in this folder are required by low-level operations, and
+are always imported by default. You can suppress this behavior by
+beginning a file with the keyword "prelude".
+
+Syntax declarations:
+
+* [reserved_notation](reserved_notation.lean)
+* [tactic](tactic.lean)
+* [priority](priority.lean)
+
+Datatypes and logic:
+
+* [datatypes](datatypes.lean)
+* [logic](logic.lean)
+* [bool](bool.lean)
+* [num](num.lean)
+* [nat](nat.lean)
+
+Support for well-founded recursion:
+
+* [relation](relation.lean)
+* [wf](wf.lean)
+* [wf_k](wf_k.lean)
+* [measurable](measurable.lean)
+
+Additional datatypes:
+
+* [prod](prod.lean)
+* [sigma](sigma.lean)
+
+The default import:
+
+* [default](default.lean)
+
+Module init.logic defines "inhabited" and "nonempty"
+types. Constructively, inhabited types have a witness, while nonempty
+types are proof irrelevant. Classically (assuming the axioms in
+logic.axioms.hilbert) the two are equivalent. Type class inferences
+are set up to use "inhabited" however, so users should use that to
+declare that types have an element. Use "nonempty" in the hypothesis
+of a theorem when the theorem does not depend on the witness chosen.

library/init/measurable.lean

@@ -2,7 +2,10 @@
 Copyright (c) 2014 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 
+Module: init.measurable
 Authors: Leonardo de Moura
+
+Types with a nat-valued complexity measure.
 -/
 prelude
 import init.nat

library/init/nat.lean

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

library/init/num.lean

@@ -2,6 +2,7 @@
 Copyright (c) 2014 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 
+Module: init.num
 Authors: Leonardo de Moura
 -/
 prelude

library/init/priority.lean

@@ -2,6 +2,7 @@
 Copyright (c) 2014 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 
+Module: init.priority
 Authors: Leonardo de Moura
 -/
 prelude

library/init/prod.lean

@@ -2,7 +2,7 @@
 Copyright (c) 2014 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 
-Module: data.prod.decl
+Module: init.prod
 Author: Leonardo de Moura, Jeremy Avigad
 -/
 prelude

library/init/relation.lean

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

library/init/sigma.lean

@@ -1,6 +1,10 @@
--- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
+/-
+Copyright (c) 2014 Microsoft Corporation. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+
+Module: init.sigma
+Author: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
+-/
 prelude
 import init.num init.wf init.logic init.tactic
 

library/init/tactic.lean

@@ -2,6 +2,7 @@
 Copyright (c) 2014 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 
+Module: init.tactic
 Author: Leonardo de Moura
 
 This is just a trick to embed the 'tactic language' as a Lean

library/init/wf.lean

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