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Theorem path-equiv-reach

⊦ reach(a, b, n) ↔ (∃ x. path(x) ∧ # x = n + 1 ∧ x .first = a ∧ x .last = b)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: paths are not used in any proofs. Lemma ensures that reachability is equivalent.
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 46
Used lemmas: path-rec, path-two, reach-succ, path-one, reach-zero,
Used spec theorems:
- Used simplifier rules: