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Proof step 28 from proof validrefs-put-badclassfield (previous step)

st[r0 -- _type] .type = mkclasstype(class), is_obj(str, r, st), st[r -- _type] .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class0, ty0, fieldvar) ']), validrefs(str, st[r -- mkfs(class0, ty0, fieldvar) '] .refval ' + refs, ty0, st[r0 -- fs ', val]), junkref(str, st[r -- mkfs(class0, ty0, fieldvar) '] .refval, st), r ≠ r0 ∨ mkfs(class0, ty0, fieldvar) ≠ fs ⊦ r = jvmref, fs ' = _type, validrefs(str, st[r -- mkfs(class0, ty0, fieldvar) '] .refval ' + refs, ty0, st), junkref(str, r, st), fs ' ∈ instfields(class), r ∈ (st[r -- mkfs(class0, ty0, fieldvar) '] .refval ' + refs) .butlast, dups((st[r -- mkfs(class0, ty0, fieldvar) '] .refval ' + refs) .butlast)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 27:
st[r -- mkfs(class0, ty0, fieldvar) '] = refval(r1), st[r0 -- _type] .type = mkclasstype(class), is_obj(str, r, st), st[r -- _type] .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class0, ty0, fieldvar) ']), validrefs(str, r1 ' + refs, ty0, st[r0 -- fs ', val]), junkref(str, r1, st), r ≠ r0 ∨ mkfs(class0, ty0, fieldvar) ≠ fs ⊦ r = jvmref, fs ' = _type, validrefs(str, r1 ' + refs, ty0, st), junkref(str, r, st), fs ' ∈ instfields(class), r ∈ (r1 ' + refs) .butlast, dups((r1 ' + refs) .butlast)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- mkfs(class0, ty0, fieldvar) '], r1] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- mkfs(class0, ty0, fieldvar) '], r1)]]