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Proof step 7 from proof is_array-addarray (previous step)

type∃(str, ty) ⊦ is_array(r, addarray(r, ty, i, st)) ↔ ¬ i < 0 ∧ r ≠ jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref ∧ 0 ≤ i ∧ ty ≠ abstract_type → is_array(r, addarray(r, ty, i, st))
Proof step 6:
¬ (r ≠ jvmref ∧ 0 ≤ i ∧ ty ≠ abstract_type), type∃(str, ty) ⊦ is_array(r, addarray(r, ty, i, st)) ↔ ¬ i < 0 ∧ r ≠ jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type

Rule argument

[crewrite-arg: isarray-add, F, [st, i, ty, r] → [st, i, ty, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])], [EXTRATERMS : (st, i, ty, r)]]