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Proof step 2 from proof refine-seek (previous step)

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), psynced → asynced ⊦ ⟪vfs_seek#(fd, whence, user, dirs, files, asynced; n, err, of)⟫ ⟨posix_seek#(fd, whence, user, root, fs; n0, err0, ofh)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ n = n0 ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
err = err0, n = n0, ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ⟪vfs_seek#(fd, whence, user, dirs, files, asynced; n, err, of)⟫ ⟨posix_seek#(fd, whence, user, root, abs-files(files); n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ n = n0 ∧ err = err0)

Proof step 2 from proof refine-seek (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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