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Proof step 96 from proof truncate-greater (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 97:
files1[m0] = mkfile(m, md0, # links(m0, dirs), content0), n0 ≠ 0, afs-cons(dirs, files1), m0 ∈ files1 ⊦ [asynced := ?] ((content0 upto m3).stream to n0 + m3 = (content0.stream to m3) + (σ⊥ to n0)), m3 % VFS_PAGE_SIZE ≠ 0 ∧ m3 / VFS_PAGE_SIZE ∈ content0

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)% ⊦ m < n → m ≤ n; (s)