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Theorem add-eq2pot

⊦ 0 ≤ j ∧ 0 ≤ i ∧ 0 ≤ i0 → (2 ^ i = 2 ^ i0 + j ↔ j = 2 ^ i0 * (2 ^ (i - i0) - 1) ∧ i0 ≤ i)

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Infos about the proof