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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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module InferenceTypeComposition where

open import Relation.Binary.PropositionalEquality

infixl 30 _+++_
-- _+++_ : {A B C : Set} {equiv : B ≡ B} -> (A -> B) -> (B -> C) -> (A -> C)
_+++_ : {A B C : Set} -> (A -> B) -> (B -> C) -> (A -> C)
_+++_ f g = \x -> g (f x)

comp-sample : {A B C D : Set} -> (A -> B) -> (B -> C) -> (C -> D) -> (A -> D)
comp-sample f g h = f +++ g +++ h