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Proof step 8 from proof subset-putarray2-put-addarray-newref-01 (previous step)

newref(r, st) ⊦ r = jvmref, ∀ rk. rk ∈ st → rk ∈ putArray(vals0, r, i, putArray(vals1, r, j, addarray(r, ty, i1, st))) ∧ st[rk] = (putArray(vals0, r, i, putArray(vals1, r, j, addarray(r, ty, i1, st)))[rk])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ rk ∈ st → rk ∈ addarray(r, ty, i, st)
Proof step 7:
rk ∈ st, newref(r, st) ⊦ r = jvmref, st[rk] = (putArray(vals0, r, i, putArray(vals1, r, j, addarray(r, ty, i1, st)))[rk])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk ∈ putArray(vals, r, i, st) ↔ rk ∈ st ∨ rk .ref = r ∧ is_indexkey(rk .key) ∧ i ≤ rk .key .index ∧ rk .key .index < i + n→i(# vals)])]]