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Theorem closed-succ

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

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: map-path, reachable-closed,
Used by units in proved state: eval, copy,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 8
Used lemmas: closeds, closed,
Used spec theorems:
- Used simplifier rules:
  - node/elim
  - node/inj