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Proof step 23 from proof junkrefs-primarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), is_primtype(ty), r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), is_array(r, st), r ∈ st, 0 ≤ st[r -- _length] .intval, r -- _type ∈ st, ty0 ≤ ty, ty0 .jtelemtype = abstract_type ∨ ty0 .jtelemtype = void_type ∨ ¬ type∃(str, ty0), ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ ¬ is_reftype(ty0) → (ty ≤ ty0 ↔ ty = ty0)

Rule argument

[speclemmaarg: ,¬ is_reftype(ty0) → (ty ≤ ty0 ↔ ty = ty0) ,[ty0, ty] → [ty, ty0] ,F ,typefuns , ,le-noreftype-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_reftype(ty) → ¬ is_primtype(ty)], [CSIMPSEQ : ⊦ is_primtype(ty) → ty .jtelemtype = ty], [CSIMPSEQ : ⊦ is_primtype(ty) → type∃(str, ty)], [CSIMPSEQ : ⊦ ¬ is_primtype(abstract_type)], [CSIMPSEQ : ⊦ ¬ is_primtype(void_type)])], [EXTRATERMS : (ty, ty0)]]