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Proof step 9 from proof subset-putarray-addarray-newref (previous step)

newref(r, st), r0 -- sk ∈ st, r0 -- sk ∈ putArray(vals0, r, i, addarray(r, ty, vals, st)) ⊦ st[r0 -- sk] = (putArray(vals0, r, i, addarray(r, ty, vals, st))[r0 -- sk]), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
newref(r, st), r0 -- sk ∈ st, r0 -- sk ∈ putArray(vals0, r, i, addarray(r, ty, vals, st)), r0 ∈ st, r0 ∈ putArray(vals0, r, i, addarray(r, ty, vals, st)) ⊦ st[r0 -- sk] = (putArray(vals0, r, i, addarray(r, ty, vals, st))[r0 -- sk]), r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]