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Proof step 7 from proof geom-mod (previous step)

(1 - i ^ (j - 1)) % (1 - i) = 0 ∨ i = 1, 0 < j, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ j0 → (1 - i ^ j0) % (1 - i) = 0 ∨ i = 1 ⊦ j = 0, (1 - i ^ j) % (1 - i) = 0, i = 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
(1 - i ^ (j - 1)) % (1 - i) = 0, 0 < j, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ j0 → (1 - i ^ j0) % (1 - i) = 0 ∨ i = 1 ⊦ j = 0, (1 - i ^ j) % (1 - i) = 0, i = 1

Proof step 7 from proof geom-mod (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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