(** import("tactic.lua") **) Definition f(a : Bool) : Bool := not a. Definition g(a b : Bool) : Bool := a \/ b. Theorem T1 (a b : Bool) : (g a b) => (f b) => a := _. unfold_all apply Discharge apply Discharge disj_hyp exact absurd done. (** simple_tac = Repeat(unfold_tac()) .. Repeat(OrElse(imp_tac(), conj_hyp_tac(), assumption_tac(), absurd_tac(), conj_hyp_tac(), disj_hyp_tac())) **) Definition h(a b : Bool) : Bool := g a b. Theorem T2 (a b : Bool) : (h a b) => (f b) => a := _. simple_tac done. Show Environment 1.