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Proof step 103 from proof write-term (previous step)

VFS_PAGE_SIZE = n1 + m5 % VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m5, md0, # links(m, dirs), content0), files[m] = mkfile(m1, md, # links(m, dirs), content), files1 [m, files1 [m, files1 [m, mkfile (m5, md0, # links(m, dirs), content0[m5 / VFS_PAGE_SIZE, fill(content0[m5 / VFS_PAGE_SIZE], zero, m5 % VFS_PAGE_SIZE, n1)] upto m5) ] [m ] .size:= m5 ] [m ] .meta:= md0 ] [m ] = mkfile(m2, md1, m3, content1), dirs0 = dirs, err = ESUCCESS, m5 < m0 + ino, afs-cons (dirs, files1 [m, mkfile(m5, md0, # links(m, dirs), content0[m5 / VFS_PAGE_SIZE, fill(content0[m5 / VFS_PAGE_SIZE], zero, m5 % VFS_PAGE_SIZE, n1)] upto m5) ]), afs-cons(dirs, files1), of-cons(of, dirs, files1), m ∈ files1, m5 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, m ∈ files, n ≤ # buf0 ⊦ ⟪afs_write_inode#(mkinode(m, md1, false, m3, 0, m0 + ino); err, dirs, files; asynced); if err ≠ ESUCCESS then ino := (m0 ≤ m5 ⊃ m5 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino⟫ (dirs0 = dirs), m5 % VFS_PAGE_SIZE = 0, ino = 0, n = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 104:
VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m2, md1, # links(m, dirs), content0), files[m] = mkfile(m1, md, # links(m, dirs), content), dirs0 = dirs, err = ESUCCESS, m2 % VFS_PAGE_SIZE ≠ 0, ino ≠ 0, n ≠ 0, m2 < m0 + ino, afs-cons (dirs, files1 [m, mkfile(m2, md1, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ]), afs-cons(dirs, files1), of-cons(of, dirs, files1), m ∈ files1, m2 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, m ∈ files, n ≤ # buf0 ⊦ ⟪afs_write_inode#(mkinode(m, md1, false, # links(m, dirs), 0, m0 + ino); err, dirs, files; asynced); if err ≠ ESUCCESS then ino := (m0 ≤ m2 ⊃ m2 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino⟫ (dirs0 = dirs), mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)