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This commit is contained in:
Thomas Baruchel 2023-01-04 14:42:31 +01:00
parent b64c29e8a0
commit 443008fbb5
1 changed files with 2 additions and 8 deletions
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thue-morse.v
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@ -384,13 +384,6 @@ Proof.
rewrite rev_length. assumption. apply rev_involutive. assumption.
Qed.
Lemma list_app_length_lt : forall (l l1 l2 : list bool) (b : bool),
l = l1 ++ b :: l2 -> length l1 < length l.
Proof.
intros l l1 l2 b. intro H. rewrite H.
rewrite app_length. simpl. apply Nat.lt_add_pos_r.
apply Nat.lt_0_succ.
Qed.
Lemma tm_step_next_range :
forall (n k : nat) (b : bool),
@ -399,7 +392,8 @@ Proof.
intros n k b. intro H. assert (I := H).
apply nth_error_split in H. destruct H. destruct H. inversion H.
rewrite tm_build. rewrite nth_error_app1. apply I.
apply list_app_length_lt in H0. rewrite H1 in H0. apply H0.
rewrite H0. rewrite app_length. rewrite <- H1. simpl.
apply Nat.lt_add_pos_r. apply Nat.lt_0_succ.
Qed.
Lemma tm_step_add_range : forall (n m k : nat),