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Proof step 10 from proof closed-succ (conclusion)

⊦ r ∈ H ∧ H[r] = Node(a, succ) ∧ b ∈ succ ∧ closed(H) → (¬ succ[b] ∈ H ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
H[r] = Node(a, succ), r ∈ H, b ∈ succ, closed(H) ⊦ succ[b] ∈ H

Rule argument

Additional information

[Concretesimprules(())]