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Proof step 20 from proof junkrefs-notin (previous step)

acc + r ' = st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), junkrefs(str, acc + r ', ty0, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ r0 = jvmref, r ∈ 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 ∧ junkrefs(str, acc + r ' + refs0, fs0 .type, st), r ≠ st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ∧ ¬ r ∈ refs, ¬ st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ∈ acc ∧ st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ≠ r

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), acc + r ' = r1 ' + refs, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), junkrefs(str, acc + r ', ty0, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ r0 = jvmref, r ∈ st, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ r1 = st[r0 -- fs0 '] .refval ∧ junkrefs(str, acc + r ' + refs0, fs0 .type, st), r ≠ r1 ∧ ¬ r ∈ refs, ¬ r1 ∈ acc ∧ r1 ≠ r

Rule argument

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

Additional information

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