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Proof step 16 from proof validref-put-refval (previous step)

is_reftype(fs .type), ty ≤ fs .type, validref(str, r1, ty, st), validref(str, r, ty0, st) ⊦ validref(str, r, ty0, st[r0 -- fs ', refval(r1)])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
fs = mkfs(class, ty1, fieldvar), is_reftype(ty1), ty ≤ ty1, validref(str, r1, ty, st), validref(str, r, ty0, st) ⊦ validref(str, r, ty0, st[r0 -- fs ', refval(r1)])

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty1, 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, ty1, fieldvar)]]