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Theorem blast-first

⊦ a ∈ x.butlast ∧ x ≠ [] → x.butlast.first = x.first

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: 1
Proof steps: 6
Used lemmas: last-elim, bin-01,
Used spec theorems:
- Used simplifier rules:
  - list/app-02-ant
  - list/e
  - list/in-rec
  - list/in-17
  - list/in-append
  - list/in-15
  - list/in-14
  - list/e-01
  - list/c
  - list/a
  - list/c-06
  - list/Nil
  - list/c-03
  - list/in-empty
  - list-data/elim-list-c