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Proof step 38 from proof validrefs-primarray (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ 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 37:
st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), r -- _type ∈ st, r -- _length ∈ st, is_arrayref(r, i, st), is_primtype(ty), r ∈ st, 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, ty = abstract_type, ty = void_type, is_reftype(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)

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)]]