diff options
| author |  Enrico Tassi <gareuselesinge@debian.org> | 2016-12-27 16:53:30 +0100 |
|---|---|---|
| committer | Enrico Tassi <gareuselesinge@debian.org> | 2016-12-27 16:53:30 +0100 |
| commit | a4c7f8bd98be2a200489325ff7c5061cf80ab4f3 (patch) | |
| tree | 26dd9c4aa142597ee09c887ef161d5f0fa5077b6 /theories/Wellfounded | |
| parent | 164c6861860e6b52818c031f901ffeff91fca16a (diff) | |
Imported Upstream version 8.6upstream/8.6
Diffstat (limited to 'theories/Wellfounded')
| -rw-r--r-- | theories/Wellfounded/Lexicographic_Exponentiation.v | 6 | ||||
| -rw-r--r-- | theories/Wellfounded/Lexicographic_Product.v | 9 |
2 files changed, 6 insertions, 9 deletions
diff --git a/theories/Wellfounded/Lexicographic_Exponentiation.v b/theories/Wellfounded/Lexicographic_Exponentiation.v index 992263cb..d90f9956 100644 --- a/theories/Wellfounded/Lexicographic_Exponentiation.v +++ b/theories/Wellfounded/Lexicographic_Exponentiation.v @@ -75,7 +75,7 @@ Section Wf_Lexicographic_Exponentiation. Proof. intros. inversion H. - - apply app_cons_not_nil in H1 as (). + - apply app_cons_not_nil in H1 as []. - assert (x ++ [a] = [x0]) by auto with sets. apply app_eq_unit in H0 as [(->, _)| (_, [=])]. auto using d_nil. @@ -98,7 +98,7 @@ Section Wf_Lexicographic_Exponentiation. destruct (app_inj_tail (l ++ [y]) ([] ++ [b]) _ _ H0) as ((?, <-)%app_inj_tail, <-). inversion H1; subst; [ apply rt_step; assumption | apply rt_refl ]. - inversion H0. - + apply app_cons_not_nil in H3 as (). + + apply app_cons_not_nil in H3 as []. + rewrite app_comm_cons in H0, H1. apply desc_prefix in H0. pose proof (H x0 b H0). apply rt_trans with (y := x0); auto with sets. @@ -145,7 +145,7 @@ Section Wf_Lexicographic_Exponentiation. pose proof H0 as H0'. apply app_inj_tail in H0' as (_, ->). rewrite app_assoc_reverse in H0. - apply Hind in H0 as (). + apply Hind in H0 as []. split. assumption. apply d_conc; auto with sets. diff --git a/theories/Wellfounded/Lexicographic_Product.v b/theories/Wellfounded/Lexicographic_Product.v index 4b8447f4..b2ada2f9 100644 --- a/theories/Wellfounded/Lexicographic_Product.v +++ b/theories/Wellfounded/Lexicographic_Product.v @@ -44,14 +44,11 @@ Section WfLexicographic_Product. apply H2. auto with sets. - injection H1. - destruct 2. - injection H3. - destruct 2; auto with sets. + injection H1 as <- _. + injection H3 as <- _; auto with sets. rewrite <- H1. - injection H3; intros _ Hx1. - subst x1. + injection H3 as -> H3. apply IHAcc0. elim inj_pair2 with A B x y' x0; assumption. Defined. |