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Proof step 19 from proof junkrefs-addobj (previous step)

is_obj(str, r, st), junkrefs(str, r ' + acc, ty, addobj(r0, class, fis, st)), newref(r0, st), st[r -- _type] .type ≤ ty, ∀ str, ty, r0, class, fis, st. junkrefs(str, acc, ty, addobj(r0, class, fis, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = r0, r = jvmref, r0 = jvmref, junkrefs(str, r ' + acc, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ junkrefs(str, refs, fs .type, st)))
Proof step 18:
is_obj(str, r, addobj(r0, class, fis, st)) ∧ (addobj(r0, class, fis, st)[r -- _type]) .type ≤ ty, is_obj(str, r, st), acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields((addobj(r0, class, fis, st)[r -- _type]) .type .class) ∧ is_referencevalue(addobj(r0, class, fis, st)[r -- fs ']) ∧ acc .first = (addobj(r0, class, fis, st)[r -- fs ']) .refval ∧ junkrefs(str, acc, fs .type, addobj(r0, class, fis, st))), newref(r0, st), st[r -- _type] .type ≤ ty, ∀ str, ty, r0, class, fis, st. junkrefs(str, acc, ty, addobj(r0, class, fis, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = r0, r = jvmref, r0 = jvmref, junkrefs(str, r ' + acc, ty, st)

Rule argument

[crewrite-arg: junkrefs-class , F , [st, ty, refs, r, str] → [addobj(r0, class, fis, st), ty, acc, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_obj (str, r, addobj(r0, class, fis, st)) ↔ is_obj(str, r, st))], [CSIMPSEQ : ⊦ r ≠ r0 → (addobj(r, class1, fis, st) [r0 -- sk ] ) = st[r0 -- sk]])], [EXTRATERMS : (addobj(r0, class, fis, st), ty, acc, r, str)]]