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Proof step 65 from proof truncate-greater (previous step)

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.stream to m1 * VFS_PAGE_SIZE + n2) + (σ⊥ to n0) 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))

User applied rule insert equation

And obtained the following new goals

Proof step 66:
files0[m0] = mkfile(m, md0, # links(m0, dirs), content0), n2 < n0 + n2, afs-cons(dirs, files0), m1 ∈ content0, m0 ∈ files0 ⊦ [asynced := ?] ( ((content0.stream to m1 * (n0 + n2) + n2) + (σ⊥ to n0) to (n0 + n2) * m1 + n0 + n2) + σ⊥ to n1 + m1 * (n0 + n2) + n2 = (content0.stream to m1 * (n0 + n2) + n2) + (σ⊥ to n1)), n0 = 0, n1 = 0, n2 = 0

Rule argument

pos: left 1 flags: discard

Proof step 65 from proof truncate-greater (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information