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Proof step 9 from proof junkref-put-refval-01 (previous step)

st[r1 -- _type] = typeval(ty0), is_arraytype(st[r0 -- _type] .type), mkarraytype(ty) ≤ st[r0 -- _type] .type, junkrefs(str, r ' + refs0, st[r -- _type] .type, st[r0 -- i ', refval(r1)]), ty0 ≤ ty ⊦ r0 = jvmref, r1 = jvmref, junkref(str, r, st), junkref(str, r1, st), mkarraytype(ty0) ≤ st[r0 -- _type] .type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ mkarraytype(ty) ≤ ty0 ↔ ty0 = mkclasstype(`java.lang.Object' .class) ∨ is_arraytype(ty0) ∧ ty ≤ ty0 .type
Proof step 8:
st[r1 -- _type] = typeval(ty0), is_arraytype(st[r0 -- _type] .type), st[r0 -- _type] .type = mkclasstype(`java.lang.Object' .class) ∨ is_arraytype(st[r0 -- _type] .type) ∧ ty ≤ st[r0 -- _type] .type .type, junkrefs(str, r ' + refs0, st[r -- _type] .type, st[r0 -- i ', refval(r1)]), ty0 ≤ ty ⊦ r0 = jvmref, r1 = jvmref, junkref(str, r, st), junkref(str, r1, st), mkarraytype(ty0) ≤ st[r0 -- _type] .type

Rule argument

[speclemmaarg: , mkarraytype(ty) ≤ ty0 ↔ ty0 = mkclasstype(`java.lang.Object' .class) ∨ is_arraytype(ty0) ∧ ty ≤ ty0 .type ,[ty0, ty] → [st[r0 -- _type] .type, ty] ,F ,typefuns , ,array-le ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- _type] .type, ty)]]