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Proof step 11 from proof union-addarray-rew (previous step)

newref(r0, st), newref(r0, st0) ⊦ fs ' ≠ _type, r0 = jvmref, (r0 -- fs ' ∈ addarray(r0, ty, vals, st ∪ st0) ↔ r0 -- fs ' ∈ st ∨ r0 -- fs ' ∈ addarray(r0, ty, vals, st0)) ∧ (addarray(r0, ty, vals, st ∪ st0)[r0 -- fs ']) = (st ∪ addarray(r0, ty, vals, st0))[r0 -- fs ']

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ r -- _type ∈ addarray(r, ty, vals, st)
Proof step 6:
⊦ (addarray(r, ty, vals, st)[r -- _type]) = typeval(mkarraytype(ty))
Proof step 10:
fs ' = _type, newref(r0, st0), newref(r0, st) ⊦ r0 = jvmref, typeval(mkarraytype(ty)) = (st ∪ addarray(r0, ty, vals, st0))[r0 -- _type]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]