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Theorem first-02

⊦ (x + a ' + y).first = (x + a ').first

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state: olist, list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 5
Used lemmas: c-06, c-03, Nil, in-17, in-15, e-02, e, in-rec, in-append, in-14, e-03, c, a, e-01, app-02-ant,
Used spec theorems:
- Used simplifier rules:
  - list-data/elim-list-c