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Proof step 42 from proof truncate-greater (previous step)

VFS_PAGE_SIZE = n0 + n2, files0[m0] = mkfile(m, md0, # links(m0, dirs), content0), m3 = m1 * VFS_PAGE_SIZE + n2, n2 < VFS_PAGE_SIZE, afs-cons(dirs, files0), m0 ∈ files0, m1 ∈ content0 ⊦ [asynced := ?] ((content0[m1, fill(content0[m1], zero, n2, n0)] upto m3).stream to n1 + m3 = (content0.stream to m3) + (σ⊥ to n1)), VFS_PAGE_SIZE = 0, n1 = 0, n2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
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)] upto (m1 * VFS_PAGE_SIZE + n2)).stream 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: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m < m + n ↔ n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ VFS_PAGE_SIZE ≠ 0; (s)