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annotate sandbox/InferenceTypeComposition.agda @ 77:a2e6f61d5f2b default tip

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Add modus-ponens
author atton <atton@cr.ie.u-ryukyu.ac.jp>
date Thu, 09 Feb 2017 06:32:03 +0000
parents 723532aa0592
children
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723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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1 module InferenceTypeComposition where
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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2
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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3 open import Relation.Binary.PropositionalEquality
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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4
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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5 infixl 30 _+++_
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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6 -- _+++_ : {A B C : Set} {equiv : B ≡ B} -> (A -> B) -> (B -> C) -> (A -> C)
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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7 _+++_ : {A B C : Set} -> (A -> B) -> (B -> C) -> (A -> C)
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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8 _+++_ f g = \x -> g (f x)
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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9
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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10 comp-sample : {A B C D : Set} -> (A -> B) -> (B -> C) -> (C -> D) -> (A -> D)
723532aa0592 Test Implicit inference equivalence of function composition
atton <atton@cr.ie.u-ryukyu.ac.jp>
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11 comp-sample f g h = f +++ g +++ h