32 lines
814 B
Text
32 lines
814 B
Text
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/-
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Copyright (c) 2015 Floris van Doorn. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Floris van Doorn
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Indiscrete category
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-/
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import .opposite
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open functor is_trunc unit eq
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namespace category
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variable (X : Type)
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definition indiscrete_precategory [constructor] : precategory X :=
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precategory.mk (λx y, unit)
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(λx y z f g, star)
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(λx, star)
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(λx y z w f g h, idp)
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(λx y f, by induction f; reflexivity)
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(λx y f, by induction f; reflexivity)
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definition Indiscrete_precategory [constructor] : Precategory :=
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precategory.Mk (indiscrete_precategory X)
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definition indiscrete_op : (Indiscrete_precategory X)ᵒᵖ = Indiscrete_precategory X := idp
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end category
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