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Proof step 17 from proof validrefs-del-junkrefs (previous step)

is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, junkrefs(str, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ', ty0, st -- st[r0 -- mkfs(class, ty0, fieldvar) '] .refval) ⊦ st[r0 -- mkfs(class, ty0, fieldvar) '] .refval = r0, r0 = jvmref, junkref(str, r0, st), ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- mkfs(class, ty0, fieldvar) '] .refval = st[r0 -- fs0 '] .refval ∧ validrefs(str, st[r0 -- fs0 '] .refval ', fs0 .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, junkrefs(str, r ', ty0, st -- r) ⊦ r = r0, r0 = jvmref, junkref(str, r0, st), ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ r = st[r0 -- fs0 '] .refval ∧ validrefs(str, st[r0 -- fs0 '] .refval ', fs0 .type, st)

Rule argument

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

Additional information

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