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Proof step 4 from proof getintarray-in-02 (previous step)

j ≤ 0, ∀ st, i0, r, i, j0. i→n(j0) < i→n(j) → (true → (i ∈ getintarray(r, i0, j0, st) ↔ (∃ j1. i = st[r -- (i0 + j1) '] .intval ∧ ¬ j1 < 0 ∧ ¬ j0 ≤ j1))) ⊦ i ∈ getintarray(r, i0, j, st) ↔ (∃ j0. i = st[r -- (i0 + j0) '] .intval ∧ ¬ j0 < 0 ∧ ¬ j ≤ j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ j < 0 → getintarray(r, i, j, st) = []
Proof step 3:
⊦ getintarray(r, i, 0, st) = []

Rule argument

[crewrite-arg: getintarray-empty-01 , F , [st, j, i, r] → [st, j, i0, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (j ≤ i ↔ i = j)], [CSIMPSEQ : ⊦ ¬ i ∈ []], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i < 0 ∧ 0 ≤ j → ¬ j < i])], [EXTRATERMS : (st, j, i0, r)]]