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Proof step 17 from proof validrefs-put-badarrayfield (previous step)

acc .first = (st[r0 -- fs ', val][r -- fs0 ']) .refval, is_obj(str, r, st), is_arraytype(st[r0 -- _type] .type), is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, fs0 ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r0 -- fs ', val][r -- fs0 ']), validrefs(str, acc, fs0 .type, st[r0 -- fs ', val]), ∀ st0, r1, str0, ty0, fs1, val0. is_arraytype(st0[r1 -- _type] .type) ∧ validrefs(str0, acc, ty0, st0[r1 -- fs1 ', val0]) → fs1 ' = _type ∨ fs1 ' = _length ∨ validrefs(str0, acc, ty0, st0) ∨ junkref(str0, acc .first, st0) ⊦ fs ' = _type, fs ' = _length, r = jvmref, acc = [], is_arraytype(st[r -- _type] .type), junkref(str, r, st), dups(acc .butlast), r ∈ acc .butlast, is_referencevalue(st[r -- fs0 ']) ∧ acc .first = st[r -- fs0 '] .refval ∧ validrefs(str, acc, fs0 .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [r -- fs0 ', val, r0 -- fs ', st] ,F ,store ,javastore-ostorea ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (r -- fs0 ', val, r0 -- fs ', st)]]