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Proof step 1 from proof refine-write (conclusion)

n ≤ # buf, ofh = abs-of(of), fs = abs-files(files), abs(root, ROOT_INO)(dirs), psynced → asynced, root.dir?, fids-cons(root, fs, ofh), of-cons(of, dirs, files), dom of < ino, afs-cons(dirs, files), n = n0, err = err0 ⊦ ⟪vfs_write#(fd, buf, user; n, err, of, dirs, files, asynced)⟫ ⟨posix_write#(fd, buf, user, root; n0, err0, fs, ofh; psynced)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ n = n0 ∧ err = err0)

System applied rule normalize

And obtained the following new goals

Proof step 2:
err = err0, fs = abs-files(files), n = n0, ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, fs, ofh), of-cons(of, dirs, files), n ≤ # buf, psynced → asynced ⊦ ⟪vfs_write#(fd, buf, user; n, err, of, dirs, files, asynced)⟫ ⟨posix_write#(fd, buf, user, root; n0, err0, fs, ofh; psynced)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ n = n0 ∧ err = err0)

Proof step 1 from proof refine-write (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

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