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Theorem arr2list-len

⊦ m < # ar → # arr2list(ar, m) = m + 1

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: arr2list-get, arr2list-put,
Used by units in proved state: 2-way-sort,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: arr2list-rec, arr2list-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/nls-fst
  - nat/add-num-01
  - list/boollist/a
  - list/boollist/len
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/succ
  - nat-basic1/zero
  - list/boollist/len-02
  - nat-basic1/f