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Theorem sublist-one

⊦ m < # x → sublist(m, 1, x) = x[m] '

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
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: 7
Used lemmas: get-succ, sub-rec-01, firstn-one-01, restN-zero, sublist-num,
Used spec theorems:
- Used simplifier rules:
  - list-data/l
  - nat-basic/f
  - list-getput/get-zero-01
  - list/c-04
  - nat-basic/succ
  - nat-basic/c
  - nat-basic/a
  - nat/le-ls-simp
  - nat/lels
  - list-data/elim-list-c
  - nat-basic/l
  - list/a
  - list/len-05
  - list/c
  - list/e
  - list/app-02