| asynced, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), afs-cons(dirs, files) ⊦ ⟨dirs := ?, files := ?, asynced := ?; fail#(; ; err)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)), ⟨asynced := true, err := ESUCCESS⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)) |
asynced0, dirs0 = dirs1 \ orphans(dirs1, files1), files0 = files1 \ orphans(dirs1, files1), afs-cons(dirs1, files1) ⊦ ∃ dirs, files, asynced. ⟨fail#(; ; err)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)), ⟨asynced0 := true, err := ESUCCESS⟩ (asynced0 ∧ dirs0 = dirs1 \ orphans(dirs1, files1) ∧ files0 = files1 \ orphans(dirs1, files1))