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Theorem countrefs-getdims-01

⊦ countrefs(i ' + getdims(ints)) = countrefs(i ' + ints)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: addarrays-fieldat, addarrays-fieldin, addarrays-length, addarrays-mode, addarrays-out, addarrays-refin, addarrays-refin-01, addarrays-type, addarrays-typein-01, endfinallymode,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas: countrefs-one, countrefs-getdims, countrefs-rec, countrefs-zero-01, getdims-empty-01, countrefs-base,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels-04
  - int-abs/forward-le-04
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/add-in
  - int-mult/commutativity
  - nat-basic2/one
  - list/intlista/c-07
  - int-abs/ax-02
  - int-abs/lels
  - int-abs/lels-03
  - int-abs/forward-le-05
  - int-abs/lels-01
  - list/intlista/c-08
  - nat-basic2/one-03
  - nat-basic2/oz
  - nat-basic1/one
  - nat/ax-02
  - list/intlista/len
  - list/intlista/len-02
  - list/intlista/a
  - nat/lep-01
  - list-data/intlista/l
  - nat-basic2/a
  - nat-basic2/c
  - list/intlista/app