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Proof step 5 from proof ri-cons-range-restrict-notin-gstore (previous step)

ri-cons(ri, nodes(gstore, ginval)) ⊦ #(range ri | n) = 0, n ∈ gstore, ∀ adr. adr ∈ range ri | n ↔ adr ∈ ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

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