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Theorem perm-eq

⊦ perm(ax, ay) ∧ unique_al(ax) ∧ a ∈ ax → ax[a] = ay[a]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
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: lookup-02, unique-02, inassoc, perm-unique,
Used spec theorems:
- Used simplifier rules:
  - list-perm/assoclista/in
  - list-perm/assoclista/ref
  - list-perm/assoclista/trans
  - list-perm/assoclista/sym-01