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Proof step 45 from proof truncate-greater (previous step)

m1 * VFS_PAGE_SIZE + n2 = m1 * VFS_PAGE_SIZE + n2, VFS_PAGE_SIZE = n0 + n2, files0[m0] = mkfile(m, md0, # links(m0, dirs), content0), n2 < VFS_PAGE_SIZE, afs-cons(dirs, files0), m1 ∈ content0, m0 ∈ files0 ⊦ [asynced := ?] ( (content0[m1, fill(content0[m1], zero, n2, n0)].stream to (m1 + 1) * VFS_PAGE_SIZE) + σ⊥ to n1 + m1 * VFS_PAGE_SIZE + n2 = (content0.stream to m1 * VFS_PAGE_SIZE + n2) + (σ⊥ to n1)), n0 = 0, n1 = 0, n2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
VFS_PAGE_SIZE = n0 + n2, files0[m0] = mkfile(m, md0, # links(m0, dirs), content0), n0 ≠ 0, n1 ≠ 0, n2 ≠ 0, n2 < VFS_PAGE_SIZE, afs-cons(dirs, files0), m0 ∈ files0, m1 ∈ content0 ⊦ [asynced := ?] ( (content0[m1, fill(content0[m1], zero, n2, n0)].stream to VFS_PAGE_SIZE * m1 + VFS_PAGE_SIZE) + σ⊥ to n1 + m1 * VFS_PAGE_SIZE + n2 = (content0.stream to m1 * VFS_PAGE_SIZE + n2) + (σ⊥ to n1))

Rule argument

Additional information

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