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Proof step 23 from proof isarray-addarray (conclusion)

⊦ (∀ j. 0 ≤ j ∧ j < n→i(# vals) → oktype(vals[i→n(j)], ty, st)) ∧ r ≠ jvmref → is_array(r, addarray(r, ty, vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 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 22:
⊦ (∀ j. 0 ≤ j ∧ j < n→i(# vals) → oktype(vals[i→n(j)], ty, st)) ∧ r ≠ jvmref → r ≠ jvmref ∧ r -- _type ∈ addarray(r, ty, vals, st) ∧ is_typevalue(addarray(r, ty, vals, st)[r -- _type]) ∧ is_arraytype((addarray(r, ty, vals, st)[r -- _type]) .type) ∧ okarray(r, (addarray(r, ty, vals, st)[r -- _type]) .type .type, addarray(r, ty, vals, 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] → [addarray(r, ty, vals, st), r] ,F ,okfuns , ,is-any-array ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, vals, st), r)]]