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Proof step 8 from proof referenced-adrs-inter-empty (previous step)

adr ∈ as, adr ∈ ax, adr ∈ ri, ∀ adr. adr ∈ ax.toSet ∩ as ↔ adr ∈ ∅ ⊦ # as = 0, #(referenced-adrs(ax, ri).toSet ∩ as) = 0, as = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
adr ∈ ri, adr ∈ ax, adr ∈ as, ∀ adr0. ¬ adr0 ∈ ax.toSet ∩ as ⊦ #(referenced-adrs(ax, ri).toSet ∩ as) = 0, # as = 0, as = ∅

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ adr ∈ ∅; (s)