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Theorem sublist-last

⊦ m0 + n < # x → sublist(m0, n + 1, x).last = x[m0 + n]

Type: A user defined theorem
Validity: The proof is valid.
Features:
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: 8
Used lemmas: restN-rec, restn-apprec, rest-rest1, get-rec-01, restn-first-get, firstN-zero, firstN-rec, sublist-def,
Used spec theorems:
- Used simplifier rules:
  - list/app
  - list-last/l
  - nat-basic2/add-base
  - list-last/l-05
  - list-data/elim-list-c
  - list-data/l
  - nat-basic1/f
  - nat-basic2/l
  - nat-basic2/succ
  - list/len-05
  - list/e-01
  - list/c
  - nat-basic2/c
  - nat-basic2/a
  - list/a
  - list/c-07