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Theorem reachset-succ

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 8
Used lemmas: path-rec, path-first-in, reachable, reachset,
Used spec theorems:
- set-union/refset/subdef
Used simplifier rules:
- node/sel-01