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Proof step 60 from proof junkrefs-put-refval-01 (previous step)

is_referencevalue(st[r1 -- mkfs(class0, ty2, fieldvar0) ']), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), st[r0 -- _type] .type ≤ ty0, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), junkrefs(str, st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval ' + refs, ty2, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str0, ty1, st0, r3, fs0, r4. ¬ junkrefs(str0, st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval ' + refs, ty1, st0) ∧ ¬ junkref(str0, r3, st0) ∧ st0[r3 -- _type] .type ≤ fs0 .type ∧ r3 ≠ jvmref ∧ fs0 .type ≠ void_type ∧ fs0 ' ≠ _length → ¬ junkrefs(str0, st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval ' + refs, ty1, st0[r4 -- fs0 ', refval(r3)]) ⊦ r0 = jvmref, ty0 = void_type, mkfs(class, ty0, fieldvar) ' = _length, r1 = jvmref, r = r1, junkref(str, r0, st), ∃ fs0. fs0 ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs0 ']) ∧ st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval = st[r1 -- fs0 '] .refval ∧ junkrefs(str, st[r1 -- fs0 '] .refval ' + refs, fs0 .type, st), r ≠ st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval ∧ ¬ r ∈ refs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 59:
st[r1 -- mkfs(class0, ty2, fieldvar0) '] = refval(r2), is_referencevalue(st[r1 -- mkfs(class0, ty2, fieldvar0) ']), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), st[r0 -- _type] .type ≤ ty0, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), junkrefs(str, r2 ' + refs, ty2, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str0, ty1, st0, r3, fs0, r4. ¬ junkrefs(str0, r2 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r3, st0) ∧ st0[r3 -- _type] .type ≤ fs0 .type ∧ r3 ≠ jvmref ∧ fs0 .type ≠ void_type ∧ fs0 ' ≠ _length → ¬ junkrefs(str0, r2 ' + refs, ty1, st0[r4 -- fs0 ', refval(r3)]) ⊦ r0 = jvmref, ty0 = void_type, mkfs(class, ty0, fieldvar) ' = _length, r1 = jvmref, r = r1, junkref(str, r0, st), ∃ fs0. fs0 ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs0 ']) ∧ r2 = st[r1 -- fs0 '] .refval ∧ junkrefs(str, st[r1 -- fs0 '] .refval ' + refs, fs0 .type, st), r ≠ r2 ∧ ¬ r ∈ refs

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r1 -- mkfs(class0, ty2, fieldvar0) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r1 -- mkfs(class0, ty2, fieldvar0) '], r2)]]