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Proof step 11 from proof junkrefs-delete (previous step)

st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st -- r), ∀ str0, ty0, st0, r1. junkrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0 -- r1) → r1 = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ∨ r1 ∈ refs ∨ junkrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) ⊦ r = r0, r0 = jvmref, r = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- mkfs(class, ty1, fieldvar) '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, fs0 .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r2), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, r2 ' + refs, ty1, st -- r), ∀ str0, ty0, st0, r1. junkrefs(str0, r2 ' + refs, ty0, st0 -- r1) → r1 = r2 ∨ r1 ∈ refs ∨ junkrefs(str0, r2 ' + refs, ty0, st0) ⊦ r = r0, r0 = jvmref, r = r2, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ r2 = st[r0 -- fs0 '] .refval ∧ junkrefs(str, r2 ' + refs, fs0 .type, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r0 -- mkfs(class, ty1, fieldvar) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r0 -- mkfs(class, ty1, fieldvar) '], r2)]]