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Proof step 98 from proof truncate-greater (previous step)

files1[m0] = mkfile(m, md0, # links(m0, dirs), content0), m3 = m1 * VFS_PAGE_SIZE + n1, n1 < VFS_PAGE_SIZE, afs-cons(dirs, files1), m0 ∈ files1 ⊦ [asynced := ?] ((content0 upto m3).stream to n0 + m3 = (content0.stream to m3) + (σ⊥ to n0)), VFS_PAGE_SIZE = 0, n0 = 0, n1 ≠ 0 ∧ m1 ∈ content0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 99:
files1[m0] = mkfile(m, md0, # links(m0, dirs), content0), n0 ≠ 0, n1 < VFS_PAGE_SIZE, afs-cons(dirs, files1), m0 ∈ files1 ⊦ [asynced := ?] ((content0 upto (m1 * VFS_PAGE_SIZE + n1)).stream to n0 + m1 * VFS_PAGE_SIZE + n1 = (content0.stream to m1 * VFS_PAGE_SIZE + n1) + (σ⊥ to n0)), n1 ≠ 0 ∧ m1 ∈ content0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ VFS_PAGE_SIZE ≠ 0; (s)