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Theorem switch-addarray-addobj-01

⊦ r ≠ r0 → addarray(r, initial_value(ty), i1, addobj(r0, class, fis, st)[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]) = addobj(r0, class, fis, addarray(r, initial_value(ty), i1, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas: shift-1dim-01, addarray-base, addarray-rec,
Used spec theorems:
- addfuns/addobj-put-switch
Used simplifier rules: