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Proof step 2 from proof validref-put-field-refval (previous step)

is_reftype(ty0), validref(str, r, ty, st), validref(str, r1, ty0, st) ⊦ validref(str, r, ty, st[r0 -- mkfs(class, ty0, fieldvar) ', refval(r1)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validref(str, r, ty0, st) ∧ validref(str, r1, ty, st) ∧ ty ≤ fs .type ∧ is_reftype(fs .type) → validref(str, r, ty0, st[r0 -- fs ', refval(r1)])

Rule argument

[crewrite-arg: validref-put-refval , F , [str, r, ty0, st, r1, ty, fs, r0] → [str, r, ty, st, r1, mkfs(class, ty0, fieldvar) .type, mkfs(class, ty0, fieldvar), r0] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ ty ≤ ty])], [EXTRATERMS : (str, r, ty, st, r1, mkfs(class, ty0, fieldvar) .type, mkfs(class, ty0, fieldvar), r0)]]