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Proof step 9 from proof headersize2-mod-pagesize-is-0 (previous step)

(2 * NODE_HEADER_SIZE) % (n * 2 * NODE_HEADER_SIZE) = 0 ⊦ n * 2 * NODE_HEADER_SIZE = 0, n * 2 * NODE_HEADER_SIZE = 2 * NODE_HEADER_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
(2 * NODE_HEADER_SIZE) % (n * 2 * NODE_HEADER_SIZE) = 0 ⊦ n = 1, n = 0

Rule argument

Additional information

Used simplifier rules: nodeheader-notzero: ⊦ NODE_HEADER_SIZE ≠ 0;% ⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0; (ws)% ⊦ 2 * m = 0 ↔ m = 0; (s)%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ m * n = m ↔ m = 0 ∨ n = 1; (s)% ⊦ m * n = m * n0 ↔ m = 0 ∨ n = n0; (ws)