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Proof step 8 from proof inos-dom (previous step)

∀ key. key ∈ ri0 ↔ key ∈ ri1 ⊦ ∀ n. n ∈ ri0.inos ↔ n ∈ ri1.inos

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
∀ key. key ∈ ri0 ↔ key ∈ ri1 ⊦ inodekey(n) ∈ ri0 ↔ inodekey(n) ∈ ri1

Rule argument

Additional information

Used simplifier rules: inos-node-store-def: ⊦ n ∈ ri.inos ↔ inodekey(n) ∈ ri;