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Proof step 1 from proof dom-istore-crash (conclusion)

⊦ dom crash(istore, istore0) = dom istore0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0)

Rule argument

spec: set-basic, inst: nat-set name: Extension seq: ⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0) subst: [ns0, ns] → [dom istore0, dom crash(istore, istore0)] flags: <all paths>

Additional information

Used simplifier rules: crash-index-in: ⊦ n ∈ crash(istore, istore0) ↔ n ∈ istore0;% ⊦ n ∈ dom istore ↔ n ∈ istore; (s) Used terms: dom istore0, dom crash(istore, istore0)