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Proof step 2 from proof is-aligned-mod-alignment (previous step)

⊦ is-aligned(n % (n0 * m), m) ↔ is-aligned(n, m), m = 0, n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ is-aligned(n, m) ↔ n % m = 0
Proof step 4:
⊦ (n % (n0 * m)) % m = 0 ↔ n % m = 0, m = 0, n0 = 0

Rule argument

Additional information

Used simplifier rules: is-aligned-def: ⊦ is-aligned(n, m) ↔ n % m = 0;