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Proof step 2 from proof modmod-add-law-pos (
previous step
)
0 < j ⊦ (i + i0 % j) % j = (i + i0) % j ∨ (i + i0 % j) % j = (i + i0) % j + j ∨ (i + i0 % j) % j = (i + i0) % j - j
Lemma
modmod-add-case