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remove goal-modifying uses of injection #248

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remove goal-modifying uses of injection #248

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2 changes: 1 addition & 1 deletion theories/Arith/PeanoNat.v
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Original file line number Diff line number Diff line change
Expand Up @@ -1253,7 +1253,7 @@ Qed.

Lemma OddT_S_EvenT n : OddT (S n) -> EvenT n.
Proof.
intros [k HO]; rewrite add_1_r in HO; injection HO; intros ->.
intros [k HO]; rewrite add_1_r in HO; injection HO as ->.
exists k; reflexivity.
Qed.

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20 changes: 5 additions & 15 deletions theories/Lists/List.v
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Expand Up @@ -2345,7 +2345,7 @@ Section Cutting.
Proof.
revert l x; induction n as [|n IH]; intros [|y l] x.
- discriminate.
- injection 1. intros ->. reflexivity.
- injection 1 as ->. reflexivity.
- discriminate.
- simpl. intros H. f_equal. apply IH. exact H.
Qed.
Expand Down Expand Up @@ -2955,19 +2955,9 @@ Section Compare.
intros Heq1 Heq2 Hne1 Hne2.
revert prefix2 xs1 xs2 ys1 ys2 Heq1 Heq2.
induction prefix1 as [|z prefix1 IH]; intros prefix2 xs1 xs2 ys1 ys2.
- destruct prefix2; [reflexivity|]. simpl. intros H1 H2.
injection H1; clear H1; intros ??; subst.
injection H2; clear H2; intros ??; subst.
exfalso. apply Hne1. reflexivity.
- destruct prefix2.
+ simpl. intros H1 H2.
injection H1; clear H1; intros ??; subst.
injection H2; clear H2; intros ??; subst.
exfalso. apply Hne2. reflexivity.
+ simpl. intros H1 H2.
injection H1; clear H1; intros ??; subst.
injection H2; clear H2; intros ?; subst.
intros. f_equal. eapply IH; eassumption.
- destruct prefix2; simpl; congruence.
- destruct prefix2; [simpl; congruence|].
injection 1 as; injection 1 as; subst; erewrite IH; eauto.
Qed.

#[local] Ltac list_auto :=
Expand All @@ -2981,7 +2971,7 @@ Section Compare.
| H : ?xs ++ _ = ?xs ++ _ |- _ =>
apply app_inv_head in H
| H : _ :: _ = _ :: _ |- _ =>
injection H; intros; clear H; subst
injection H as; subst
| H : [] = _ :: _ |- _ =>
inversion H
| H : cmp ?x ?x = Lt |- _ =>
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