| 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)) |