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Proof step 9 from proof getarray-addarray-06 (previous step)

n < i→n(i), 0 < i ⊦ (addarray(r, ty, i, st)[r -- n→i(n) ']) = initial_value(ty), i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 ≤ j ∧ j < i → (addarray(r, ty, i, st)[r -- j ']) = initial_value(ty)
Proof step 8:
¬ (0 ≤ n→i(n) ∧ n→i(n) < i), n < i→n(i), 0 < i ⊦ (addarray(r, ty, i, st)[r -- n→i(n) ']) = initial_value(ty), i = 0

Rule argument

[crewrite-arg: at-1dim, F, [j, st, i, ty, r] → [n→i(n), st, i, ty, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n→i(n), st, i, ty, r)]]