# HG changeset patch # User atton # Date 1486621923 0 # Node ID a2e6f61d5f2b991593f5faa8507c8b8e2a40adf4 # Parent 29a3a4b79d4df32151d3ba11dec2c34c3ac769f6 Add modus-ponens diff -r 29a3a4b79d4d -r a2e6f61d5f2b sandbox/modus-ponens.agda --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/sandbox/modus-ponens.agda Thu Feb 09 06:32:03 2017 +0000 @@ -0,0 +1,13 @@ +module modus-ponens where + +data _×_ (A B : Set) : Set where + <_,_> : A -> B -> A × B + +fst : {A B : Set} -> A × B -> A +fst < a , _ > = a + +snd : {A B : Set} -> A × B -> B +snd < _ , b > = b + +f : {A B C : Set} -> (A -> B) × (B -> C) -> (A -> C) +f = (\p x -> snd p ((fst p) x))