diff options
Diffstat (limited to 'lib/Coqlib.v')
| -rw-r--r-- | lib/Coqlib.v | 14 |
1 files changed, 14 insertions, 0 deletions
diff --git a/lib/Coqlib.v b/lib/Coqlib.v index 4fc922b..f4d50e8 100644 --- a/lib/Coqlib.v +++ b/lib/Coqlib.v @@ -606,6 +606,13 @@ Definition nat_of_Z (z: Z) : nat := | Zneg p => O end. +Lemma nat_of_Z_of_nat: + forall n, nat_of_Z (Z_of_nat n) = n. +Proof. + intros. unfold Z_of_nat. destruct n. auto. + simpl. rewrite nat_of_P_o_P_of_succ_nat_eq_succ. auto. +Qed. + Lemma nat_of_Z_max: forall z, Z_of_nat (nat_of_Z z) = Zmax z 0. Proof. @@ -1133,6 +1140,13 @@ Proof. induction 1; intros; simpl. auto. constructor; auto. Qed. +Lemma list_forall2_length: + forall l1 l2, + list_forall2 l1 l2 -> length l1 = length l2. +Proof. + induction 1; simpl; congruence. +Qed. + End FORALL2. Lemma list_forall2_imply: |