80 lines
2 KiB
Text
80 lines
2 KiB
Text
/-
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Copyright (c) 2015 Jeremy Avigad. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Jeremy Avigad
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Bundled structures
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-/
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import algebra.group
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structure Semigroup :=
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(carrier : Type) (struct : semigroup carrier)
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attribute Semigroup.carrier [coercion]
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attribute Semigroup.struct [instance]
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structure CommSemigroup :=
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(carrier : Type) (struct : comm_semigroup carrier)
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attribute CommSemigroup.carrier [coercion]
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attribute CommSemigroup.struct [instance]
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structure Monoid :=
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(carrier : Type) (struct : monoid carrier)
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attribute Monoid.carrier [coercion]
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attribute Monoid.struct [instance]
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structure CommMonoid :=
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(carrier : Type) (struct : comm_monoid carrier)
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attribute CommMonoid.carrier [coercion]
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attribute CommMonoid.struct [instance]
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structure Group :=
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(carrier : Type) (struct : group carrier)
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attribute Group.carrier [coercion]
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attribute Group.struct [instance]
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structure CommGroup :=
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(carrier : Type) (struct : comm_group carrier)
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attribute CommGroup.carrier [coercion]
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attribute CommGroup.struct [instance]
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structure AddSemigroup :=
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(carrier : Type) (struct : add_semigroup carrier)
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attribute AddSemigroup.carrier [coercion]
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attribute AddSemigroup.struct [instance]
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structure AddCommSemigroup :=
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(carrier : Type) (struct : add_comm_semigroup carrier)
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attribute AddCommSemigroup.carrier [coercion]
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attribute AddCommSemigroup.struct [instance]
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structure AddMonoid :=
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(carrier : Type) (struct : add_monoid carrier)
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attribute AddMonoid.carrier [coercion]
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attribute AddMonoid.struct [instance]
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structure AddCommMonoid :=
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(carrier : Type) (struct : add_comm_monoid carrier)
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attribute AddCommMonoid.carrier [coercion]
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attribute AddCommMonoid.struct [instance]
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structure AddGroup :=
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(carrier : Type) (struct : add_group carrier)
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attribute AddGroup.carrier [coercion]
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attribute AddGroup.struct [instance]
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structure AddCommGroup :=
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(carrier : Type) (struct : add_comm_group carrier)
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attribute AddCommGroup.carrier [coercion]
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attribute AddCommGroup.struct [instance]
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