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Proof step 2 from proof validref-put-array-refval-01 (previous step)

is_arraytype(st[r0 -- _type] .type), mkarraytype(ty) ≤ st[r0 -- _type] .type, validref(str, r1, ty, st), validref(str, r, ty0, st), r1 = jvmref → is_reftype(ty) ⊦ r0 = jvmref, validref(str, r, ty0, st[r0 -- i ', 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) ∧ mkarraytype(ty) ≤ st[r0 -- _type] .type ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (r1 = jvmref → is_reftype(ty)) → validref(str, r, ty0, st[r0 -- i ', refval(r1)])

Rule argument

[crewrite-arg: validref-put-array-refval , F , [str, r, ty0, st, r1, ty, r0, i] → [str, r, ty0, st, r1, ty, r0, i] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, ty0, st, r1, ty, r0, i)]]