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Commit ff383745 authored by Robbert Krebbers's avatar Robbert Krebbers
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Add lemma `lookup_zip_with_Some`.

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......@@ -3770,6 +3770,10 @@ Section zip_with.
revert k i. induction l; intros [|??] [|?]; f_equal/=; auto.
by destruct (_ !! _).
Qed.
Lemma lookup_zip_with_Some l k i z :
zip_with f l k !! i = Some z
x y, z = f x y l !! i = Some x k !! i = Some y.
Proof. rewrite lookup_zip_with. destruct (l !! i), (k !! i); naive_solver. Qed.
Lemma insert_zip_with l k i x y :
<[i:=f x y]>(zip_with f l k) = zip_with f (<[i:=x]>l) (<[i:=y]>k).
Proof. revert i k. induction l; intros [|?] [|??]; f_equal/=; auto. Qed.
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