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

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)])

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)])
Proof step 8:
¬ ( validref(str, r, ty, st) ∧ validref(str, r0, st[r0 -- _type] .type, st) ∧ st[r0 -- _type] .type ≤ mkfs(class, ty1, fieldvar) .type ∧ is_reftype(mkfs(class, ty1, fieldvar) .type)), 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)])

Rule argument

[crewrite-arg: validref-put-refval , F , [str, r, ty0, st, r1, ty, fs, r0] → [str, r, ty, st, r0, st[r0 -- _type] .type, mkfs(class, ty1, fieldvar), r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, ty, st, r0, st[r0 -- _type] .type, mkfs(class, ty1, fieldvar), r)]]