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Proof step 18 from proof validref-class (previous step)

st[r -- _type] .type = mkclasstype(class), validref(str, r, ty, st), is_referencevalue(st[r -- mkfs(class0, ty0, fieldvar) ']), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), is_reftype(ty0), ¬ validref(str, st[r -- mkfs(class0, ty0, fieldvar) '] .refval, ty0, st) ∨ ¬ st[r -- (mkfs(class0, ty0, fieldvar) ' ' + _type ')] .type ≤ ty0 ⊦ r = jvmref, st[r -- mkfs(class0, ty0, fieldvar) '] .refval = jvmref, ty0 = abstract_type

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
st[r -- mkfs(class0, ty0, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class), validref(str, r, ty, st), is_referencevalue(st[r -- mkfs(class0, ty0, fieldvar) ']), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), is_reftype(ty0), ¬ validref(str, r0, ty0, st) ∨ ¬ st[r -- (mkfs(class0, ty0, fieldvar) ' ' + _type ')] .type ≤ ty0 ⊦ r = jvmref, r0 = jvmref, ty0 = abstract_type

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- mkfs(class0, ty0, fieldvar) '], r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- mkfs(class0, ty0, fieldvar) '], r0)]]