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Proof step 3 from proof restr-toset-empty-notin (previous step)

ax.toSet | n = ∅, @(n, m0, m1) ∈ ax ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0)
Proof step 5:
@(n, m0, m1) ∈ ax, ∀ adr. adr ∈ ax.toSet | n ↔ adr ∈ ∅ ⊦

Rule argument

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

Additional information

Used terms: ∅, ax.toSet | n