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Proof step 51 from proof junkref-addobj-01 (previous step)

fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), junkrefs(str, r0 ' + refs, ty, st), is_valid_ref(str, r0, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 50:
fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), junkrefs(str, r0 ' + refs, ty, st), is_obj(str, r0, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkref(str, r0, st)

Rule argument

[speclemmaarg: ,is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st) ,[st, r, str] → [st, r0, str] ,F ,addfuns , ,is-valid-ref-stronger-def ]

Additional information

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