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Proof step 3 from proof restrict-add-in (previous step)

adr ∈ as, adr ∈ iast0, iast0 | as ⊆ iast1 ⊦ # as = 0, as = ∅, adr ∈ iast1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: index-store-address-store name: Subset seq: ⊦ iast ⊆ iast0 ↔ (∀ adr. adr ∈ iast → adr ∈ iast0 ∧ iast[adr] = iast0[adr]) subst: [iast0, iast] → [iast1, iast0 | as] flags: <all paths>

Additional information

Used terms: iast1, iast0 | as