Commit b4299305 authored by Raphaël Cauderlier's avatar Raphaël Cauderlier
Browse files

Symmetric addition is needed for confluence of dk_int.leq.

parent 5fe6b6dd
......@@ -40,7 +40,11 @@ def eq : Nat -> Nat -> Bool.
(; This definition of plus is compatible with dependant list concatenation ;)
def plus : Nat -> Nat -> Nat.
[m] plus O m --> m
[n,m] plus (S n) m --> S (plus n m).
[n,m] plus (S n) m --> S (plus n m)
(; We also need symmetric rewrite rules for confluence of dk_int.leq ;)
(; Counter-example: dk_int.leq (dk_int.make a b) (dk_int.make (S c) (S d)) ;)
[n] plus n O --> n
[n,m] plus n (S m) --> S (plus n m).
(; Product ;)
def mult : Nat -> Nat -> Nat.
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