Mercurial > hg > Members > atton > agda-proofs
annotate sandbox/modus-ponens.agda @ 77:a2e6f61d5f2b default tip
Add modus-ponens
author | atton <atton@cr.ie.u-ryukyu.ac.jp> |
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date | Thu, 09 Feb 2017 06:32:03 +0000 |
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77 | 1 module modus-ponens where |
2 | |
3 data _×_ (A B : Set) : Set where | |
4 <_,_> : A -> B -> A × B | |
5 | |
6 fst : {A B : Set} -> A × B -> A | |
7 fst < a , _ > = a | |
8 | |
9 snd : {A B : Set} -> A × B -> B | |
10 snd < _ , b > = b | |
11 | |
12 f : {A B C : Set} -> (A -> B) × (B -> C) -> (A -> C) | |
13 f = (\p x -> snd p ((fst p) x)) |