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Proof step 9 from proof aligndown-aligndown-add (previous step)

⊦ ((n0 % n = 0 ⊃ n0;n0 / n * n) + n1) % n = 0, ((n0 % n = 0 ⊃ n0;n0 / n * n) + n1) / n * n = (n0 % n = 0 ⊃ n0;n0 / n * n) + (n1 % n = 0 ⊃ n1;n1 / n * n), n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⊦ ((n0 % n = 0 ⊃ n0;n0 / n * n) + n1) % n = 0, ((n0 % n = 0 ⊃ n0;n0 / n * n) + n1) / n * n = (n0 % n = 0 ⊃ n0;n0 / n * n) + (n1 % n = 0 ⊃ n1;n1 / n * n), n = 0

Proof step 9 from proof aligndown-aligndown-add (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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