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Proof step 10 from proof in-restr-notin-log (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
adr ∈ as, adr ∈ abs-log(nx, gstore), adr ∈ ax ⊦ #(ax.toSet ∩ abs-log(nx, gstore).toSet) = 0, # as = 0, as = ∅, adr.lnum ∈ nx

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ as ≠ ∅ → # as ≠ 0; (forward) from specification set-basic[node-store]%ne-01: ⊦ adr ∈ as → as ≠ ∅; (forward) from specification set-basic[node-store]% ⊦ adr ∈ as | n ↔ adr.lnum = n ∧ adr ∈ as; (ws)