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Proof step 33 from proof junkrefs-primarray (previous step)

is_primtype(ty), okarray(r, ty, st), r ∈ st, ¬ is_array(str, r, st) ∨ ¬ st[r -- _type] .type ≤ mkarraytype(ty) ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ is_array(str, r, st) ↔ type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st)
Proof step 32:
is_primtype(ty), okarray(r, ty, st), r ∈ st, ¬ ( type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st)) ∨ ¬ st[r -- _type] .type ≤ mkarraytype(ty) ⊦ r = jvmref

Rule argument

[speclemmaarg: , is_array(str, r, st) ↔ type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st) ,[st, r, str] → [st, r, str] ,F ,okfuns , ,is-real-array-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str)]]