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Proof step 62 from proof truncate-empty (previous step)

VFS_PAGE_SIZE = n0 + n1, VFS_PAGE_SIZE = n2 + n1, files1[ino0] = mkfile(m, md0, # links(ino0, dirs), content0), n1 < VFS_PAGE_SIZE, afs-cons(dirs, files1), m0 ∈ content0, ino0 ∈ files1, n1 ≤ VFS_PAGE_SIZE ⊦ [asynced := ?] ( ( ( (content0.stream to m0 * VFS_PAGE_SIZE + n1) + (σ⊥ to n0) + (content0.stream from VFS_PAGE_SIZE * m0 + VFS_PAGE_SIZE) from m0 * VFS_PAGE_SIZE + n1) to n2) + σ⊥ = σ⊥), n0 = 0, n1 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 63:
VFS_PAGE_SIZE = n2 + n1, files1[ino0] = mkfile(m, md0, # links(ino0, dirs), content0), n1 ≠ 0, n2 ≠ 0, n1 < VFS_PAGE_SIZE, afs-cons(dirs, files1), m0 ∈ content0, ino0 ∈ files1 ⊦ [asynced := ?] ( ( ( (content0.stream to m0 * VFS_PAGE_SIZE + n1) + (σ⊥ to n2) + (content0.stream from VFS_PAGE_SIZE * m0 + VFS_PAGE_SIZE) from m0 * VFS_PAGE_SIZE + n1) to n2) + σ⊥ = σ⊥)

Rule argument

Additional information

Used simplifier rules: ⊦ m < m + n ↔ n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%eqs: ⊦ m = n + n0 ∧ m = n + n1 → n0 = n1; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m < n → m ≤ n; (s)