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Theorem lookup-02

⊦ a × d ∈ ax ∧ unique_al(ax) → ax[a] = d

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 10
Used lemmas: not, in-01, assoc-no, cons, assoc-yes, unique-e, unique-02,
Used spec theorems:
- Used simplifier rules:
  - list/assoclista/a
  - list/assoclista/in-17
  - list/assoclista/in-append
  - list/assoclista/c
  - list/assoclista/in-empty