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Proof step 7 from proof validref-put-array-refval (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, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st)
Proof step 6:
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, r = jvmref ∨ (st[r0 -- i ', refval(r1)][r -- _type]) .type ≤ ty0 ∧ ¬ junkref(str, r, st[r0 -- i ', refval(r1)])

Rule argument

[crewrite-arg: validref-def , F , [st, ty, r, str] → [st[r0 -- i ', refval(r1)], ty0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- i ', refval(r1)], ty0, r, str)]]