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Proof step 18 from proof junkrefs-put-refval (previous step)

st[r1 -- mkfs(class, ty0, fieldvar) '] = refval(r0), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), st[r3 -- _type] .type ≤ ty0, is_obj(r1, st), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), junkrefs(str, r3 ' + refs, ty0, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), is_obj(str, r1, st), junkrefs(str, r0 ' + refs, ty0, st), junkrefs(str, r3 ' + refs, ty0, st) ⊦ r3 = r0, _type = mkfs(class, ty0, fieldvar) ', r3 = jvmref, r1 = jvmref, junkref(str, r3, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ junkref(str, r, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[r -- _type] .type, st))
Proof step 17:
st[r1 -- mkfs(class, ty0, fieldvar) '] = refval(r0), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), st[r3 -- _type] .type ≤ ty0, is_obj(r1, st), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), junkrefs(str, r3 ' + refs, ty0, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), is_obj(str, r1, st), junkrefs(str, r0 ' + refs, ty0, st), junkrefs(str, r3 ' + refs, ty0, st) ⊦ r3 = r0, _type = mkfs(class, ty0, fieldvar) ', r3 = jvmref, r1 = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r3 ∧ junkrefs(str, refs, st[r3 -- _type] .type, st)

Rule argument

[crewrite-arg: junkref-def, F, [st, r, str] → [st, r3, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r3, str)]]