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Proof step 9 from proof validref-put-field-any (previous step)

validref(str, r, ty, st), is_referencevalue(val) → validref(str, val .refval, fs .type, st) ∧ is_reftype(fs .type), ¬ is_referencevalue(val) → okval(val, fs .type) ∧ fs .type ≠ void_type ∧ fs ' ≠ _length ⊦ validref(str, r, ty, st[r0 -- fs ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
fs = mkfs(class, ty0, fieldvar), validref(str, r, ty, st), is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0), ¬ is_referencevalue(val) → okval(val, ty0) ∧ ty0 ≠ void_type ∧ fs ' ≠ _length ⊦ validref(str, r, ty, st[r0 -- fs ', val])

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar)]]