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Proof step 6 from proof headersize2-mod-pagesize-is-0 (previous step)

(2 * NODE_HEADER_SIZE) % EB_PAGE_SIZE = 0, ∃ n0. EB_PAGE_SIZE = n0 * 2 * NODE_HEADER_SIZE ⊦ 2 * NODE_HEADER_SIZE = 0, EB_PAGE_SIZE = 2 * NODE_HEADER_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
(2 * NODE_HEADER_SIZE) % EB_PAGE_SIZE = 0, EB_PAGE_SIZE = n * 2 * NODE_HEADER_SIZE ⊦ EB_PAGE_SIZE = 2 * NODE_HEADER_SIZE

Rule argument

Additional information

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