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Proof step 61 from proof junkrefs-put-refval-02 (previous step)

mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, junkrefs(str, r1 ' + acc, ty, st[r -- i ', refval(r0)]), ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r = jvmref, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r = jvmref → ¬ junkrefs(str, r ' + refs, ty, st)
Proof step 60:
r1 ≠ jvmref, mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, junkrefs(str, r1 ' + acc, ty, st[r -- i ', refval(r0)]), ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r = jvmref, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st)

Rule argument

[crewrite-arg: junkrefs-null , F , [st, ty, refs, r, str] → [st[r -- i ', refval(r0)], ty, acc, r1, str] ]

Additional information

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