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Proof step 23 from proof junkrefs-addarray (previous step)

acc = r1 + refs, r1 = (addarray(r0, ty0, vals, st)[r -- fs ']) .refval, st[r -- _type] .type ≤ ty, newref(r0, st), junkrefs(str, acc, fs .type, addarray(r0, ty0, vals, st)), is_referencevalue(addarray(r0, ty0, vals, st)[r -- fs ']), fs ' ∈ instfields((addarray(r0, ty0, vals, st)[r -- _type]) .type .class), is_obj(str, r, st), (addarray(r0, ty0, vals, st)[r -- _type]) .type ≤ ty, is_obj(str, r, addarray(r0, ty0, vals, st)), ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ acc = [], r0 = jvmref, r = jvmref, junkrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
is_referencevalue(addarray(r0, ty0, vals, st)[r -- fs ']), fs ' ∈ instfields((addarray(r0, ty0, vals, st)[r -- _type]) .type .class), is_obj(str, r, st), (addarray(r0, ty0, vals, st)[r -- _type]) .type ≤ ty, is_obj(str, r, addarray(r0, ty0, vals, st)), st[r -- _type] .type ≤ ty, newref(r0, st), junkrefs(str, (addarray(r0, ty0, vals, st)[r -- fs ']) .refval ' + refs, fs .type, addarray(r0, ty0, vals, st)), ∀ str0, ty1, r1, ty2, vals0, st0. junkrefs(str0, (addarray(r0, ty0, vals, st)[r -- fs ']) .refval ' + refs, ty1, addarray(r1, ty2, vals0, st0)) ∧ newref(r1, st0) → r1 = jvmref ∨ junkrefs(str0, (addarray(r0, ty0, vals, st)[r -- fs ']) .refval ' + refs, ty1, st0) ⊦ r0 = jvmref, r = jvmref, junkrefs(str, r ' + (addarray(r0, ty0, vals, st)[r -- fs ']) .refval ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]