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Proof step 15 from proof junkrefs-delete-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 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 14:
is_obj(str, r0, st -- r) ∧ (st -- r)[r0 -- _type] .type ≤ ty, st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r2), junkrefs(str, r2 ' + refs, ty1, st), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str0, ty0, st0, r1. junkrefs(str0, r2 ' + refs, ty0, st0) → junkrefs(str0, r2 ' + refs, ty0, st0 -- r1) ⊦ r = r0, r0 = jvmref, r2 ' + refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields((st -- r)[r0 -- _type] .type .class) ∧ is_referencevalue((st -- r)[r0 -- fs ']) ∧ (r2 ' + refs) .first = (st -- r)[r0 -- fs '] .refval ∧ junkrefs(str, r2 ' + refs, fs .type, st -- r))

Rule argument

[crewrite-arg: junkrefs-class , F , [st, ty, refs, r, str] → [st -- r, ty, r2 ' + refs, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( is_obj(str, r0, st -- r) ↔ is_obj(str, r0, st))], [CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]])], [EXTRATERMS : (st -- r, ty, r2 ' + refs, r0, str)]]