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Proof step 4 from proof getbyte-drop-lower (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
m0 < m, n0 < VFS_PAGE_SIZE ⊦ (m0 ∈ content[m, buf] ⊃ content[m, buf][m0];zeropage)[n0] = (m0 ∈ content ⊃ content[m0];zeropage)[n0]

Rule argument

Additional information

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