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Proof step 11 from proof keys-nodes-in-ri (previous step)

ri-cons(ri, fs), adr ∈ ax, ∀ adr. adr ∈ ax.toSet ↔ adr ∈ range ri | n ⊦ fs[adr].key ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
ri-cons(ri, fs), adr ∈ ax, ∀ adr0. adr0 ∈ ax ↔ adr0 ∈ range ri | n ⊦ fs[adr].key ∈ ri

Rule argument

Additional information

Used simplifier rules: ⊦ adr ∈ ax.toSet ↔ adr ∈ ax; (s)