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Proof step 2 from proof page-size-simp5 (previous step)

EB_PAGE_SIZE = n0 + n1 ⊦ n1 + n2 + n0 < 2 * EB_PAGE_SIZE + n ↔ n2 < EB_PAGE_SIZE + n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: page-size-rewrite-sum: ⊦ EB_PAGE_SIZE = n0 + n1 → n0 + n1 + n2 = EB_PAGE_SIZE + n2;%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ m0 * 1 = m0; (s)%m1 ≠ 0 ⊦ m + n < (* m1) * m + n0 ↔ n < (m1 - 1) * m + n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic