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Proof step 25 from proof junkref-put-refval-01 (previous step)

is_arraytype(st[r0 -- _type] .type), mkarraytype(ty) ≤ st[r0 -- _type] .type, validref(str, r1, ty, st), junkrefs(str, r ' + refs0, st[r -- _type] .type, st[r0 -- i ', refval(r1)]), r1 = jvmref → is_reftype(ty) ⊦ r0 = jvmref, junkref(str, r, st), junkref(str, r1, st), r1 ≠ jvmref ∧ mkarraytype(st[r1 -- _type] .type) ≤ st[r0 -- _type] .type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ validref(str, r, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st)
Proof step 24:
is_arraytype(st[r0 -- _type] .type), mkarraytype(ty) ≤ st[r0 -- _type] .type, r1 = jvmref ∨ st[r1 -- _type] .type ≤ ty ∧ ¬ junkref(str, r1, st), junkrefs(str, r ' + refs0, st[r -- _type] .type, st[r0 -- i ', refval(r1)]), r1 = jvmref → is_reftype(ty) ⊦ r0 = jvmref, junkref(str, r, st), junkref(str, r1, st), r1 ≠ jvmref ∧ mkarraytype(st[r1 -- _type] .type) ≤ st[r0 -- _type] .type

Rule argument

[crewrite-arg: validref-def, F, [st, ty, r, str] → [st, ty, r1, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r1, str)]]