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Proof step 217 from proof write-term (previous step)

# links(m, dirs) = m4, files0[m] = mkfile(m2, md0, m4, content0), of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md, m4, content), files1[m] = mkfile(m3, md1, m4, content1), m2 < m0 + ino, afs-cons(dirs, files0[m, mkfile(m2, md0, m4, content0 upto m2)]), afs-cons(dirs, files0), of-cons(of, dirs, files0), m ∈ files1, fd ∈ of, m ∈ files0, n ≤ # buf0 ⊦ ⟪fail#(; ; err); asynced := ?; if err ≠ ESUCCESS then ino := (m0 ≤ m2 ⊃ m2 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino⟫ true, ino = 0, n = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 218:
files1[m] = mkfile(m3, md1, # links(m, dirs), content1), of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m2, md0, # links(m, dirs), content0), ino ≠ 0, n ≠ 0, m2 < m0 + ino, afs-cons(dirs, files0), afs-cons(dirs, files0[m, mkfile(m2, md0, # links(m, dirs), content0 upto m2)]), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, m ∈ files1, n ≤ # buf0 ⊦ ⟪fail#(; ; err); asynced := ?; if err ≠ ESUCCESS then ino := (m0 ≤ m2 ⊃ m2 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino⟫ true, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)