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Theorem get-last-04

⊦ (a ' + x + y)[# x] = (a ' + x).last

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: 3
Proof steps: 9
Used lemmas: get-last, get-append-less, get-numrec, get-zero-01,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list-data/size-01
  - list/app
  - list-last/l
  - list-last/l-02
  - nat/pred-03
  - list-data/l
  - nat/elim-pred-c
  - nat/lels
  - nat/eq
  - nat-basic1/ref-1
  - nat-basic2/s
  - nat/les
  - nat-basic2/oz
  - nat-basic1/lf-01
  - nat-basic1/f
  - nat/eqle-one
  - list/len
  - list/len-02
  - list/a
  - nat-basic2/eq-01
  - nat-basic2/a
  - nat-basic2/c
  - list/e-02
  - list-last/last-elim