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Theorem put-rec

⊦ n ≠ 0 ∧ x ≠ [] → x[n, a] = x.first ' + x.rest[n -1, a]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: put-at, put-del1-in, put-in, put-in-01, put-in-02, put-length, put-one-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: put-succ,
Used spec theorems:
- Used simplifier rules:
  - nat/pred-03
  - nat/elim-pred-c
  - nat-basic2/oz
  - list/c
  - list/e-01
  - list/a
  - nat-basic2/a
  - nat-basic2/c
  - list/app-08
  - list-data/elim-list-c