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Proof step 127 from proof refine-read (previous step)

of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m1, md, # links(m, dirs), content), ino ≠ 0, root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), of-cons(of[fd, mkfile(m, mode, m0 + ino)], dirs, files), read-inv(m0, m0 + n0, mkinode(m, md, false, # links(m, dirs), 0, m1), buf0, buf0, 0, dirs, files), read-inv(m0, m0 + n0, mkinode(m, md, false, # links(m, dirs), 0, m1), buf0, buf1, ino, dirs, files), m ∈ files, fd ∈ of, n0 ≤ # buf0, m0 ≤ m1, psynced → asynced, ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ∃ n1. n1 ≤ n0 ∧ m0 + n1 ≤ m1 ∧ ⟨n0 := n1; buf0 := copy((content.stream to m1).buf, m0, buf0, 0, n0); ofh := abs-of(of[fd, mkfile(m, mode, m0 + n0)])⟩ (ofh = abs-of(of[fd, of[fd].pos:= (m0 + n0)]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ ino = n0), mode ≠ MODE_R ∧ mode ≠ MODE_RW

User applied rule exists right

And obtained the following new goals

Proof step 128:
files[m] = mkfile(m1, md, # links(m, dirs), content), of[fd] = mkfile(m, mode, m0), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of[fd, mkfile(m, mode, m0 + ino)], dirs, files), of-cons(of, dirs, files), read-inv(m0, m0 + n0, mkinode(m, md, false, # links(m, dirs), 0, m1), buf0, buf1, ino, dirs, files), read-inv(m0, m0 + n0, mkinode(m, md, false, # links(m, dirs), 0, m1), buf0, buf0, 0, dirs, files), fd ∈ of, m ∈ files, m0 ≤ m1, n0 ≤ # buf0, psynced → asynced, ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ino ≤ n0 ∧ m0 + ino ≤ m1 ∧ ⟨n0 := ino; buf0 := copy((content.stream to m1).buf, m0, buf0, 0, n0); ofh := abs-of(of[fd, mkfile(m, mode, m0 + n0)])⟩ (ofh = abs-of(of[fd, of[fd].pos:= (m0 + n0)]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ ino = n0), ino = 0, mode ≠ MODE_R ∧ mode ≠ MODE_RW

Rule argument

pos: right 1 terms: ino abort: F discard: T computed: F

Additional information

Used terms: ino