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Theorem path-postfix

⊦ path(x + r ' + y, H) → (¬ path(r ' + y, H) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: acyclic-rem-not-reachable, reachable-addnew-rev, reachable-nodups-def, rem-stays-reachable-aux, rem-stays-reachable-aux1, rem-stays-reachable-aux2,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: path-cons,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/c
  - list/reflist/a
  - list/reflist/Nil