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-rw-r--r--theories/Lists/List.v4
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Lists/List.v b/theories/Lists/List.v
index bdaaa91828..c3c69f46f3 100644
--- a/theories/Lists/List.v
+++ b/theories/Lists/List.v
@@ -1143,7 +1143,7 @@ Section Map.
Qed.
Lemma map_eq_cons : forall l l' b,
- map l = b :: l' -> exists a tl, l = a :: tl /\ b = f a /\ l' = map tl.
+ map l = b :: l' -> exists a tl, l = a :: tl /\ f a = b /\ map tl = l'.
Proof.
intros l l' b Heq.
destruct l; inversion_clear Heq.
@@ -1151,7 +1151,7 @@ Section Map.
Qed.
Lemma map_eq_app : forall l l1 l2,
- map l = l1 ++ l2 -> exists l1' l2', l = l1' ++ l2' /\ l1 = map l1' /\ l2 = map l2'.
+ map l = l1 ++ l2 -> exists l1' l2', l = l1' ++ l2' /\ map l1' = l1 /\ map l2' = l2.
Proof.
induction l; simpl; intros l1 l2 Heq.
- symmetry in Heq; apply app_eq_nil in Heq; destruct Heq; subst.