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Theorem rec

⊦ a ≠ b → (perm(a ' + x, b ' + y) ↔ a ∈ y ∧ b ∈ x ∧ perm(x -1l b, y -1l a))

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, localcut,
Comment:
Used by: in-02, in-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: del, del-03, del-01,
Used spec theorems:
- Used simplifier rules:
  - list-del/del1-n
  - list/a
  - list/in-01