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Proof step 4 from proof validref-put-field (previous step)

is_reftype(ty1), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r0 -- _type] .type ≤ ty1, is_obj(r, st), validref(str, r, ty, st), validref(str, r0, ty0, st) ⊦ r0 = jvmref, validref(str, r, ty, st[r -- mkfs(class, ty1, fieldvar) ', refval(r0)]), validref(str, r0, st[r0 -- _type] .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validref(str, r, ty, st) ∧ st[r -- _type] .type = ty0 → validref(str, r, ty0, st)

Rule argument

[crewrite-arg: validref-type-forward , F , [str, r, ty, st, ty0] → [str, r0, ty0, st, st[r0 -- _type] .type] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r0, ty0, st, st[r0 -- _type] .type)]]