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Proof step 24 from proof junkref-addobj-01 (previous step)

fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + st[r0 -- mkfs(class1, ty0, fieldvar0) '] .refval ' + refs0, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), mkfs(class1, ty0, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class1, ty0, fieldvar0) ']), junkrefs(str, st[r0 -- mkfs(class1, ty0, fieldvar0) '] .refval ' + refs0, ty0, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkrefs(str, r0 ' + st[r0 -- mkfs(class1, ty0, fieldvar0) '] .refval ' + refs0, st[r0 -- _type] .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
st[r0 -- mkfs(class1, ty0, fieldvar0) '] = refval(r1), fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + r1 ' + refs0, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), mkfs(class1, ty0, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class1, ty0, fieldvar0) ']), junkrefs(str, r1 ' + refs0, ty0, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkrefs(str, r0 ' + r1 ' + refs0, st[r0 -- _type] .type, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r0 -- mkfs(class1, ty0, fieldvar0) '], r1] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r0 -- mkfs(class1, ty0, fieldvar0) '], r1)]]