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Theorem countrefs-rec-01

⊦ 0 ≤ i → countrefs((i + 1) ' + i0 ' + ints) = 1 + (i + 1) * countrefs(i0 ' + ints)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: multi-at-other, multi-field, multi-fieldin, multi-in-other, multi-isarrayref, multi-length-first, multi-lengthin, multi-refin, multi-type-first, multi-typein,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: countrefs-rec,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-01
  - int-basic2/add-in
  - list/intlista/c-07
  - int-mult/commutativity
  - list/intlista/len
  - list/intlista/len-02
  - list/intlista/a
  - nat/ax-02
  - nat-basic1/one
  - nat-basic2/z-01
  - nat-basic2/a
  - nat-basic2/c
  - nat/add-num-03
  - list/intlista/c-08
  - int-abs/ax-02
  - int-abs/numls-02
  - int-abs/mone-06
  - int-abs/lels-01
  - int-abs/lels-04
  - int-basic2/add-a
  - int-basic2/add-c