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Proof step 84 from proof union-addarray-rew (previous step)

newref(r, st), newref(r, st0) ⊦ ∀ rk. (rk ∈ addarray(r, ty, vals, st ∪ st0) ↔ rk ∈ st ∪ addarray(r, ty, vals, st0)) ∧ (addarray(r, ty, vals, st ∪ st0)[rk]) = (st ∪ addarray(r, ty, vals, st0))[rk], r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 83:
newref(r, st), newref(r, st0) ⊦ r = jvmref, (rk ∈ addarray(r, ty, vals, st ∪ st0) ↔ rk ∈ st ∨ rk ∈ addarray(r, ty, vals, st0)) ∧ (addarray(r, ty, vals, st ∪ st0)[rk]) = (st ∪ addarray(r, ty, vals, st0))[rk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk ∈ st ∪ st0 ↔ rk ∈ st ∨ rk ∈ st0])]]