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Theorem getcountdims

⊦ n→i(# getdims(ints)) + countdims(ints, i) = n→i(# ints) + i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: getdims-rec, countdims-zero, getdims-zero, countdims-rec, getdims-empty, countdims-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-05
  - int-abs/lels
  - int-basic2/add-in
  - nat-basic2/c
  - nat-basic2/a
  - intnat/n2i-add
  - list/intlista/a
  - list/intlista/len-02
  - list/intlista/len
  - list/intlista/c
  - list-data/intlista/size-01
  - int-basic2/ax-04
  - int-basic2/add-a
  - int-basic2/add-c