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Proof step 24 from proof refine-close (previous step)

of[fd] = mkfile(m, mode, m0), err = ESUCCESS, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), fd ∈ of, psynced → asynced ⊦ [afs_iget#(m, dirs, files, asynced; p_inode, err); ofh := abs-of(of); fs := abs-files(files); if err = ESUCCESS then {of := of -- fd; vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}] ( of-cons(of, dirs, files) ∧ dom of < ino0 ∧ afs-cons(dirs, files) → ⟨posix_close#(fd, user, root; err0, fs, ofh)⟩ (ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 25:
of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino = m, inode = p_inode, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), fd ∈ of, psynced → asynced ⊦ [if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort; ofh := abs-of(of); fs := abs-files(files); if err = ESUCCESS then {of := of -- fd; vfs_put_inode#(inode, of, asynced; err, dirs, files)}] ( of-cons(of, dirs, files) ∧ dom of < ino0 ∧ afs-cons(dirs, files) → ⟨posix_close#(fd, user, root; err0, fs, ofh)⟩ (ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_iget#(INO, DIRS, FILES, ASYNCED; INODE, ERR) {if pre-iget(INO, DIRS, FILES) then { {INODE := getinode(INO, DIRS, FILES); ERR := ESUCCESS} or fail#(; ; ERR)} else abort };