blob: f509ea5a2c3935fdabbf330a09aa7678d73f1a6c [file] [edit]
theorem ex : ∀ (p q r : Prop), p ∧ q ∧ r → (¬q ∨ r) ∧ (¬r ∨ q) ∧ p :=
fun p q r h =>
of_eq_true
(Eq.trans
(congr
(congrArg And
(Eq.trans (congr (congrArg Or (Eq.trans (congrArg Not (eq_true h.2.1)) not_true_eq_false)) (eq_true h.2.2))
(or_true False)))
(Eq.trans
(congr
(congrArg And
(Eq.trans
(congr (congrArg Or (Eq.trans (congrArg Not (eq_true h.2.2)) not_true_eq_false)) (eq_true h.2.1))
(or_true False)))
(eq_true h.1))
(and_self True)))
(and_self True))