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Diffstat (limited to 'src/Util/Tuple.v')
| -rw-r--r-- | src/Util/Tuple.v | 5 |
1 files changed, 5 insertions, 0 deletions
diff --git a/src/Util/Tuple.v b/src/Util/Tuple.v index ea22d8ff3..d2c3f6d7d 100644 --- a/src/Util/Tuple.v +++ b/src/Util/Tuple.v @@ -168,6 +168,11 @@ Definition on_tuple2 {A B C} (f : list A -> list B -> list C) {a b c : nat} Definition map2 {n A B C} (f:A -> B -> C) (xs:tuple A n) (ys:tuple B n) : tuple C n := on_tuple2 (map2 f) (fun la lb pfa pfb => eq_trans (@map2_length _ _ _ _ la lb) (eq_trans (f_equal2 _ pfa pfb) (Min.min_idempotent _))) xs ys. +Lemma map2_S {n A B C} (f:A -> B -> C) (xs:tuple' A n) (ys:tuple' B n) (x:A) (y:B) + : map2 (n:=S (S n)) f (xs, x) (ys y) = (map2 (n:=S n) f xs ys, f x y). +Proof. +Admitted. + Lemma map_map2 {n A B C D} (f:A -> B -> C) (g:C -> D) (xs:tuple A n) (ys:tuple B n) : map g (map2 f xs ys) = map2 (fun a b => g (f a b)) xs ys. Proof. |