diff options
Diffstat (limited to 'backend/Injectproof.v')
-rw-r--r-- | backend/Injectproof.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/backend/Injectproof.v b/backend/Injectproof.v index 9e5ad6df..dd5e72f8 100644 --- a/backend/Injectproof.v +++ b/backend/Injectproof.v @@ -89,7 +89,7 @@ Qed. Obligation 2. Proof. simpl in BOUND. - omega. + lia. Qed. Program Definition bounded_nth_S_statement : Prop := @@ -104,14 +104,14 @@ Lemma bounded_nth_proof_irr : (BOUND1 BOUND2 : (k < List.length l)%nat), (bounded_nth k l BOUND1) = (bounded_nth k l BOUND2). Proof. - induction k; destruct l; simpl; intros; trivial; omega. + induction k; destruct l; simpl; intros; trivial; lia. Qed. Lemma bounded_nth_S : bounded_nth_S_statement. Proof. unfold bounded_nth_S_statement. induction k; destruct l; simpl; intros; trivial. - 1, 2: omega. + 1, 2: lia. apply bounded_nth_proof_irr. Qed. @@ -121,7 +121,7 @@ Lemma inject_list_injected: Some (inject_instr (bounded_nth k l BOUND) (Pos.succ (pos_add_nat pc k))). Proof. induction l; simpl; intros. - - omega. + - lia. - simpl. destruct k as [ | k]; simpl pos_add_nat. + simpl bounded_nth. |