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Theorem sublist-recstart

⊦ l + n + 1 ≤ # x → sublist(l, n + 1, x) = x[l] ' + sublist(l + 1, n, x)

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: 1
Proof steps: 9
Used lemmas: get-succ, get-zero, sub-zerorec-01, sub-rec-01,
Used spec theorems:
- Used simplifier rules:
  - list-data/l
  - nat-basic/f
  - nat-basic/c
  - nat-basic/a
  - nat/succ-01
  - nat/le-ls-simp
  - nat/lels
  - list-data/elim-add
  - nat-basic/s-04
  - list/a
  - nat-basic/succ
  - list/len-05
  - list/c
  - list/e
  - list/app-02
  - nat-basic/add-base
  - nat/ls-le-simp
  - list/c-08
  - list/c-07
  - list/len-01
  - nat-basic/l