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Proof step 3 from proof isarray-init-02 (previous step)

j < i, i ≤ n→i(# vals), 0 ≤ j, 0 < i, j < n→i(# vals) ⊦ vals = [], r -- j ' ∈ addarray(r, ty, vals, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r -- j ' ∈ addarray(r, ty, vals, st) ↔ r -- j ' ∈ st ∨ 0 ≤ j ∧ j < n→i(# vals)

Rule argument

[crewrite-arg: in-add, F, [st, vals, ty, j, r] → [st, vals, ty, j, r]]

Additional information

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