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Proof step 24 from proof validrefs-put-notin-02 (previous step)

acc + r0 ' = st[r1 -- mkfs(class0, ty1, fieldvar0) '] .refval ' + refs, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), okval(val, ty0), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class0, ty1, fieldvar0) ']), validrefs(str, acc + r0 ', ty1, st), ∀ str, r0, ty, st, val, ty0, class, fieldvar, r. validrefs(str, acc + r0 ', ty, st) ∧ okval(val, ty0) → mkfs(class, ty0, fieldvar) ' = _length ∨ mkfs(class, ty0, fieldvar) ' = _type ∨ validrefs(str, acc + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∨ r ∈ acc ⊦ r1 = jvmref, r = r1, mkfs(class, ty0, fieldvar) ' = _type, mkfs(class, ty0, fieldvar) ' = _length, r ∈ acc, ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ st[r1 -- mkfs(class0, ty1, fieldvar0) '] .refval = st[r1 -- fs '] .refval ∧ validrefs(str, st[r1 -- fs '] .refval ' + refs, fs .type, st[r -- mkfs(class, ty0, fieldvar) ', val]), r0 ≠ st[r1 -- mkfs(class0, ty1, fieldvar0) '] .refval ∧ ¬ r0 ∈ refs, ¬ st[r1 -- mkfs(class0, ty1, fieldvar0) '] .refval ∈ acc ∧ st[r1 -- mkfs(class0, ty1, fieldvar0) '] .refval ≠ r0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
st[r1 -- mkfs(class0, ty1, fieldvar0) '] = refval(r2), acc + r0 ' = r2 ' + refs, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), okval(val, ty0), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class0, ty1, fieldvar0) ']), validrefs(str, acc + r0 ', ty1, st), ∀ str, r0, ty, st, val, ty0, class, fieldvar, r. validrefs(str, acc + r0 ', ty, st) ∧ okval(val, ty0) → mkfs(class, ty0, fieldvar) ' = _length ∨ mkfs(class, ty0, fieldvar) ' = _type ∨ validrefs(str, acc + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∨ r ∈ acc ⊦ r1 = jvmref, r = r1, mkfs(class, ty0, fieldvar) ' = _type, mkfs(class, ty0, fieldvar) ' = _length, r ∈ acc, ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ r2 = st[r1 -- fs '] .refval ∧ validrefs(str, st[r1 -- fs '] .refval ' + refs, fs .type, st[r -- mkfs(class, ty0, fieldvar) ', val]), r0 ≠ r2 ∧ ¬ r0 ∈ refs, ¬ r2 ∈ acc ∧ r2 ≠ r0

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r1 -- mkfs(class0, ty1, fieldvar0) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r1 -- mkfs(class0, ty1, fieldvar0) '], r2)]]