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Proof step 4 from proof size-eq-0 (previous step)

∀ as0. # as0 < # as → true → (0 = as0.size ↔ (∀ adr. adr ∈ as0 → adr.size = 0)) ⊦ # as = 0, 0 = as.size ↔ (∀ adr. adr ∈ as → adr.size = 0), as = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: set-basic, inst: address-store name: Extension seq: ⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0) subst: [as0, as] → [∅, as] flags: <all paths>

Additional information

Used terms: ∅, as