diff options
Diffstat (limited to 'theories/Numbers/Natural/Abstract/NBase.v')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NBase.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Numbers/Natural/Abstract/NBase.v b/theories/Numbers/Natural/Abstract/NBase.v index c7632d185..a0111a082 100644 --- a/theories/Numbers/Natural/Abstract/NBase.v +++ b/theories/Numbers/Natural/Abstract/NBase.v @@ -187,16 +187,16 @@ Qed. Theorem succ_pred : forall n : N, n ~= 0 -> S (P n) == n. Proof. cases n. -intro H; elimtype False; now apply H. +intro H; exfalso; now apply H. intros; now rewrite pred_succ. Qed. Theorem pred_inj : forall n m : N, n ~= 0 -> m ~= 0 -> P n == P m -> n == m. Proof. intros n m; cases n. -intros H; elimtype False; now apply H. +intros H; exfalso; now apply H. intros n _; cases m. -intros H; elimtype False; now apply H. +intros H; exfalso; now apply H. intros m H2 H3. do 2 rewrite pred_succ in H3. now rewrite H3. Qed. |