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Proof step 3 from proof dom-istore-crash-refm-refsize0 (previous step)

remove-refsize0(istore0) = istore0 ⊦ dom remove-refsize0(crash(istore, istore0)) = dom istore0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0)
Proof step 5:
remove-refsize0(istore0) = istore0 ⊦ ∀ n. n ∈ dom remove-refsize0(crash(istore, istore0)) ↔ n ∈ dom istore0

Rule argument

spec: set-basic, inst: nat-set name: Extension seq: ⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0) subst: [ns0, ns] → [dom istore0, dom remove-refsize0(crash(istore, istore0))] flags: <all paths>

Additional information

Used terms: dom istore0, dom remove-refsize0(crash(istore, istore0))