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Proof step 9 from proof isarray-addarray-other (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), is_array(r, st), r -- _type ∈ st, r ∈ st ⊦ r = r0, okarray(r, ty, addarray(r0, ty0, vals, st)) ∧ r ≠ jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)
Proof step 8:
st[r -- _type] = typeval(mkarraytype(ty)), r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st), r -- _type ∈ st, r ∈ st ⊦ r = r0, okarray(r, ty, addarray(r0, ty0, vals, st)) ∧ r ≠ jvmref

Rule argument

[speclemmaarg: , is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st) ,[st, r] → [st, r] ,F ,okfuns , ,is-any-array ]

Additional information

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