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Proof step 9 from proof closed-succ (previous step)

H[r] = Node(a, succ), r ∈ H, b ∈ succ, closed(H) ⊦ succ[b] ∈ H

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ closed(H) ↔ (∀ r. r ∈ H → closed(H[r].edges, H))

Rule argument

spec: inst: name:closed seq: ⊦ closed(H) ↔ (∀ r. r ∈ H → closed(H[r].edges, H)) subst:[H] → [H] flags:rewrite, current

Additional information

[Concretesimprules(()), Extraterms((H))]