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Freyd Adjoint Functor Theorem
author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Sun, 05 Jan 2014 08:46:31 +0900
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children 211f6bec9b4a
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304
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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1 open import Category -- https://github.com/konn/category-agda
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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2 open import Level
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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3 open import Category.Sets
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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4
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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5 module freyd {c₁ c₂ ℓ : Level} (A : Category c₁ c₂ ℓ)
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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6 (C : Category zero zero zero )
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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7 where
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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8
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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9 open import Relation.Binary.Core
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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10
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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11 postulate ≈→≡ : {a b : Obj C } { x y : Hom C a b } → (x≈y : C [ x ≈ y ]) → x ≡ y
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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12
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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13
bd7b3f3d1d4c Freyd Adjoint Functor Theorem
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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14 -- record SmallCategory