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This commit is contained in:
Thomas Baruchel 2023-11-01 21:06:13 +01:00
parent 00cf74be9c
commit 24d88f1928
1 changed files with 5 additions and 10 deletions
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15
src/subsequences.v
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@ -232,7 +232,6 @@ Proof.
apply length_zero_iff_nil in I. rewrite I. reflexivity.
destruct u. apply O_S in I. contradiction I.
simpl. rewrite H1. rewrite <- IHv; inversion I; reflexivity.
rewrite H1. rewrite <- H2; inversion H; reflexivity.
Qed.
@ -250,15 +249,11 @@ Proof.
rewrite J. apply subsequence3_nil_r.
destruct v. apply subsequence3_nil_r.
destruct w. apply Nat.neq_succ_0 in I. contradiction I.
destruct a. exists nil. exists w.
inversion J. apply IHu in H3.
split. reflexivity. inversion J. rewrite <- H5. assumption.
inversion I. reflexivity. simpl in J.
assert (subsequence3 w (x0::v)). apply IHu.
inversion I. reflexivity. assumption.
apply subsequence3_cons_l. assumption.
destruct a. exists nil. exists w. inversion J.
apply IHu in H3. split; inversion J; try rewrite <- H5; easy.
inversion I. reflexivity.
assert (subsequence3 w (x0::v)). apply IHu; inversion I; easy.
apply subsequence3_cons_l; assumption.
apply I with (u := x); assumption.
Qed.