lean2/tests/lean/interactive/t9.lean

(* import("tactic.lua") *)
theorem T1 (A B : Bool) : A /\ B → B /\ A :=
     fun H : A /\ B,
         let main : B /\ A :=
          (let H1 : B := _,
               H2 : A := _
           in _)
         in main.
  conj_hyp.
  exact.
  done.
  conj_hyp.
  exact.
  done.
  apply and_intro.
  exact.
  done.

(*
simple_tac = Repeat(OrElse(conj_hyp_tac(), conj_tac(), assumption_tac()))
*)

theorem T2 (A B : Bool) : A /\ B → B /\ A :=
     fun H : A /\ B,
             let H1 : A := _,
                 H2 : B := _,
                main : B /\ A := _
              in main.
   simple_tac. done.
   simple_tac. done.
   simple_tac. done.