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Theorem insfirst

⊦ ¬ a ∈ ax → (ax + (a × d)' + ax0)[a, d0] = ax + (a × d0)' + ax0

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: 6
Used lemmas: put-no, inone, inapp, put-yes,
Used spec theorems:
- Used simplifier rules:
  - list/assoclista/Nil
  - list/assoclista/c
  - list/assoclista/app-08
  - list/assoclista/a