diff options
Diffstat (limited to 'lib/Integers.v')
| -rw-r--r-- | lib/Integers.v | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/lib/Integers.v b/lib/Integers.v index 7d5f016..9844ed1 100644 --- a/lib/Integers.v +++ b/lib/Integers.v @@ -168,7 +168,7 @@ Lemma Z_mod_two_p_range: Proof. induction n; simpl; intros. rewrite two_power_nat_O. omega. - rewrite two_power_nat_S. destruct (Z_bin_decomp x) as [b y]_eqn. + rewrite two_power_nat_S. destruct (Z_bin_decomp x) as [b y] eqn:?. rewrite Z_bin_comp_eq. generalize (IHn y). destruct b; omega. Qed. @@ -179,7 +179,7 @@ Proof. induction n; simpl; intros. rewrite two_power_nat_O. exists x. ring. rewrite two_power_nat_S. - destruct (Z_bin_decomp x) as [b y]_eqn. + destruct (Z_bin_decomp x) as [b y] eqn:?. destruct (IHn y) as [z EQ]. exists z. rewrite (Z_bin_comp_decomp2 _ _ _ Heqp). repeat rewrite Z_bin_comp_eq. rewrite EQ at 1. ring. @@ -1171,7 +1171,7 @@ Proof. Z_of_bits n (bits_of_Z n x) 0 = k * two_power_nat n + x). induction n; intros; simpl. rewrite two_power_nat_O. exists (-x). omega. - rewrite two_power_nat_S. destruct (Z_bin_decomp x) as [b y]_eqn. + rewrite two_power_nat_S. destruct (Z_bin_decomp x) as [b y] eqn:?. rewrite zeq_true. destruct (IHn y) as [k EQ]. replace (Z_of_bits n (fun i => if zeq i 0 then b else bits_of_Z n y (i - 1)) 1) with (Z_of_bits n (bits_of_Z n y) 0). @@ -1302,7 +1302,7 @@ Proof. auto. destruct (zlt i 0). apply bits_of_Z_below. auto. simpl. - destruct (Z_bin_decomp x) as [b x1]_eqn. + destruct (Z_bin_decomp x) as [b x1] eqn:?. destruct (zeq i 0). subst i. simpl in H. assert (x = 0) by omega. subst x. simpl in Heqp. congruence. apply IHn. @@ -2199,7 +2199,7 @@ Proof. simpl. rewrite two_power_nat_O in H0. assert (x = 0). omega. subst x. omega. rewrite two_power_nat_S in H0. simpl Z_one_bits. - destruct (Z_bin_decomp x) as [b y]_eqn. + destruct (Z_bin_decomp x) as [b y] eqn:?. rewrite (Z_bin_comp_decomp2 _ _ _ Heqp). assert (EQ: y * two_p (i + 1) = powerserie (Z_one_bits n y (i + 1))). apply IHn. omega. |