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Proof step 38 from proof content-write (previous step)

# buf = VFS_PAGE_SIZE, (m1 + 1) * VFS_PAGE_SIZE + n3 = m0 * VFS_PAGE_SIZE + n0, n0 < VFS_PAGE_SIZE, n3 < VFS_PAGE_SIZE ⊦ (n + m0 ∈ content ⊃ content[n + m0];zeropage)[n0] = (m0 + n ∈ content ⊃ content[m0 + n];zeropage)[n3], m0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: nat-mult name: modeq seq: ⊦ n0 < n ∧ n1 < n → (m * n + n0 = m0 * n + n1 ↔ m = m0 ∧ n0 = n1) subst: [n1, m0, n0, n, m] → [n0, m0, n3, VFS_PAGE_SIZE, m1 + 1] flags: <all paths>

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m * (n + 1) = m * n + m; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult Used terms: n0, m0, n3, VFS_PAGE_SIZE, m1 + 1