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Theorem length-1init-01

⊦ (addarray(r, ty, vals, st)[r -- _length]) = intval(n→i(# vals))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: addarray-addaray, addarray-identity, addarray-put-01, addbar-length, addbar-okarray-01, addbar-okarray-03, get-add, getarray-addarray, is_array-addarray-01, isarray-addarray, okarray-04, okarray-05, okarray-addarray, okarray-init-04, okarray-init-05, okarray-init-07, putarray-add-same, putarray-addarray-one, putarray-addarray-override, union-addarray-rew,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: length-1init, addarrayinit-def,
Used spec theorems:
- Used simplifier rules:
  - javastore/lookup-if
  - javavalue/inj-04