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Proof step 14 from proof junkrefs-primarray (previous step)

st[r -- _type] .type = mkarraytype(ty0), r ∈ st, junkrefs(str, r ' + refs, mkarraytype(ty), st), okarray(r, ty, st), is_array(str, r, st), is_primtype(ty), ty0 ≤ ty ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs .first = st[r -- i '] .refval ∧ junkrefs(str, refs, st[r -- _type] .type .type, st)))
Proof step 13:
is_array(str, r, st) ∧ st[r -- _type] .type ≤ mkarraytype(ty), st[r -- _type] .type = mkarraytype(ty0), r ∈ st, refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs .first = st[r -- i '] .refval ∧ junkrefs(str, refs, st[r -- _type] .type .type, st)), okarray(r, ty, st), is_array(str, r, st), is_primtype(ty), ty0 ≤ ty ⊦ r = jvmref

Rule argument

[crewrite-arg: junkrefs-array , F , [st, ty, refs, r, str] → [st, mkarraytype(ty), refs, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkarraytype(ty) ≤ mkarraytype(ty0) ↔ ty ≤ ty0])], [EXTRATERMS : (st, mkarraytype(ty), refs, r, str)]]