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Proof step 15 from proof junkrefs-put-badarrayfield (previous step)

(st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r0 -- fs ', val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r0 -- _type] .type), is_obj(str, r, st), st[r -- _type] .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), ∀ str0, ty0, st0, fs1, r1, val0. ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ fs1 ' ≠ _type ∧ is_arraytype(st0[r1 -- _type] .type) ∧ fs1 ' ≠ _length → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs1 ', val0]) ⊦ r -- mkfs(class, ty1, fieldvar) ' = r0 -- fs ', r = jvmref, fs ' = _type, fs ' = _length, junkrefs(str, r ' + r2 ' + refs, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r0 -- fs ', val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r0 -- _type] .type), st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str0, ty0, st0, fs1, r1, val0. ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ fs1 ' ≠ _type ∧ is_arraytype(st0[r1 -- _type] .type) ∧ fs1 ' ≠ _length → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs1 ', val0]) ⊦ r = jvmref, fs ' = _type, fs ' = _length, r = r0, junkrefs(str, r ' + r2 ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( is_obj (str, r0, st[r -- sk, val]) ↔ is_obj(str, r0, st))], [CSIMPSEQ : ⊦ is_arraytype (st[r -- _type] .type) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]])]]