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Theorem lookup-append

⊦ a ∈ ax → (ax + ay)[a] = ax[a]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
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: assoc-no, assoc-yes, inone, inapp, empty,
Used spec theorems:
- Used simplifier rules:
  - list/assoclista/c
  - list/assoclista/Nil
  - list/assoclista/a