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Proof step 560 from proof inv-write (previous step)

of[fd, mkfile(m, mode, m0 + (m0 ≤ m1 ⊃ n1;0))][n0] = mkfile(m5, mode1, m6), files[m] = mkfile(m2, md0, # links(m, dirs), content), of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[n0] = mkfile(m3, mode0, m4), m1 = n1 + m0, m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), n0 ∈ of[fd, mkfile(m, mode, m0 + n1)], m ∈ files0, fd ∈ of, m ∈ files, m3 ∈ files0, n0 ∈ of, n ≤ # buf0, m0 ≤ m1, ⌊err0⌋ ⊦ ino4 = 0, n = 0, m5 ∈ files, err1 = ESUCCESS ∧ ¬ isdir, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 561:
of[fd, mkfile(m, mode, m0 + n1)][n0] = mkfile(m5, mode1, m6), files[m] = mkfile(m2, md0, # links(m, dirs), content), of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(n1 + m0, md, # links(m, dirs), content0), of[n0] = mkfile(m3, mode0, m4), n1 < ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), n0 ∈ of[fd, mkfile(m, mode, m0 + n1)], m ∈ files0, fd ∈ of, m ∈ files, m3 ∈ files0, n0 ∈ of, n ≤ # buf0, ⌊err0⌋ ⊦ n = 0, m5 ∈ files, err1 = ESUCCESS ∧ ¬ isdir, (n1 + m0) % VFS_PAGE_SIZE ≠ 0 ∧ (n1 + m0) / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

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