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Proof step 35 from proof putarray-addarray-one (previous step)

sk = i ', r0 -- sk ∈ addarray(r0, ty, n→i(# vals) + 1, st) ∨ ¬ i ≤ 0 ∧ ¬ n→i(# vals) < i ↔ r0 -- sk ∈ addarray(r0, ty, refval(jvmref) ' + vals, st), is_reftype(ty), is_indexkey(sk) ⊦ (putArray(vals, r0, 1, addarray(r0, ty, n→i(# vals) + 1, st))[r0 -- sk]) = (addarray(r0, ty, refval(jvmref) ' + vals, st)[r0 -- sk])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
r0 -- i ' ∈ addarray(r0, ty, n→i(# vals) + 1, st) ∨ ¬ i ≤ 0 ∧ ¬ n→i(# vals) < i ↔ r0 -- i ' ∈ addarray(r0, ty, refval(jvmref) ' + vals, st), is_reftype(ty) ⊦ (putArray(vals, r0, 1, addarray(r0, ty, n→i(# vals) + 1, st))[r0 -- i ']) = (addarray(r0, ty, refval(jvmref) ' + vals, st)[r0 -- i '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(i ')])]]