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

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

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, r0, st) ∧ st[r0 -- _type] .type ≤ ty, st[r0 -- _type] .type ≤ ty, junkrefs(str, r0 ' + acc, ty, st -- r), is_obj(str, r0, st), ∀ str, ty, st, r. junkrefs(str, acc, ty, st -- r) → r ∈ acc ∨ junkrefs(str, acc, ty, st) ⊦ r0 = jvmref, r = r0, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ acc .first = st[r0 -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)), r ∈ acc

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, acc, r0, str)]]