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Proof step 20 from proof content-write (previous step)

# buf = VFS_PAGE_SIZE, m0 * VFS_PAGE_SIZE + n1 = n0 + n * VFS_PAGE_SIZE, n1 < VFS_PAGE_SIZE, n1 < n0, n ≤ m0, VFS_PAGE_SIZE ≤ n0 ⊦ (m0 = n ∨ m0 ∈ content ⊃ content[n, buf][m0];zeropage)[n1] = (((n0 - VFS_PAGE_SIZE) + VFS_PAGE_SIZE) / VFS_PAGE_SIZE + n ∈ content ⊃ content[((n0 - VFS_PAGE_SIZE) + VFS_PAGE_SIZE) / VFS_PAGE_SIZE + n] ;zeropage ) [(n0 - VFS_PAGE_SIZE) % VFS_PAGE_SIZE ]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
# buf = VFS_PAGE_SIZE, m0 * VFS_PAGE_SIZE + n1 = n0 + n * VFS_PAGE_SIZE, n0 = n2 + VFS_PAGE_SIZE, n1 < n0, n1 < VFS_PAGE_SIZE, VFS_PAGE_SIZE ≤ n0, n ≤ m0 ⊦ (m0 = n ∨ m0 ∈ content ⊃ content[n, buf][m0];zeropage)[n1] = ((n2 + VFS_PAGE_SIZE) / VFS_PAGE_SIZE + n ∈ content ⊃ content[(n2 + VFS_PAGE_SIZE) / VFS_PAGE_SIZE + n];zeropage)[n2 % VFS_PAGE_SIZE]

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [n0, VFS_PAGE_SIZE, n2]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n0, VFS_PAGE_SIZE, n2