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Proof step 29 from proof content-trunc (previous step)

(n0 * VFS_PAGE_SIZE + n1) + n = m0 * VFS_PAGE_SIZE, n2 < VFS_PAGE_SIZE, n1 < VFS_PAGE_SIZE, n2 + n1 + n < VFS_PAGE_SIZE, m0 ∈ content ⊦ n1 = 0, zero = content[m0][n2]

User applied rule cut formula

And closed the goal!

Rule argument

fma: n1 + n < VFS_PAGE_SIZE

Additional information

Used simplifier rules: ⊦ ¬ m < n → ¬ m + m0 < n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n0 < n → (m * n + n0 = m0 * n ↔ m = m0 ∧ n0 = 0); (ws)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult% ⊦ m + n = 0 ↔ m = 0 ∧ n = 0; (ws) Used formulas: n1 + n < VFS_PAGE_SIZE