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Theorem countrefs2-02

⊦ ints ≠ [] ∧ 0 < i → countrefs2(i ' + ints) = i + i * countrefs2(ints)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: countrefs2-one, countrefs2-pos, multg-at-ref, multi-mode,
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_more_gr0,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-05
  - int-mult/eq-pos
  - int-basic2/add-a
  - int-mult/commutativity
  - int-mult/associativity
  - int-mult/succ-rmerge
  - list/intlista/c-07
  - int-basic2/add-c
  - list/intlista/len
  - list/intlista/len-02
  - list/intlista/a
  - nat/ax-02
  - nat-basic1/one
  - nat-basic2/oz
  - nat-basic2/a
  - nat-basic2/c
  - nat-basic2/one-03
  - list-data/intlista/l
  - list/intlista/c-08
  - int-abs/ax-02
  - int-abs/lels
  - int-abs/lels-03