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Proof step 6 from proof in-restr-notin-log (previous step)

adr ∈ ax, adr ∈ abs-log(nx, gstore), ax.toSet ⊆ as | n ⊦ #(ax.toSet ∩ abs-log(nx, gstore).toSet) = 0, n ∈ nx

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ as ⊆ as0 ↔ (∀ adr. adr ∈ as → adr ∈ as0)
Proof step 8:
adr ∈ abs-log(nx, gstore), adr ∈ ax, ∀ adr. adr ∈ ax.toSet → adr ∈ as | n ⊦ #(ax.toSet ∩ abs-log(nx, gstore).toSet) = 0, n ∈ nx

Rule argument

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

Additional information

Used terms: as | n, ax.toSet