Set: pp::colors Set: pp::unicode Assumed: p Assumed: q Assumed: r Proved: T1 Proved: T2 theorem T2 (H : p) (H::1 : q) : p ∧ q ∧ p := and_intro H (and_intro H::1 H) Proved: T3 theorem T3 (H : p) (H::1 : p ∧ q) (H::2 : r) : q ∧ r ∧ p := and_intro (and_elimr H::1) (and_intro H::2 H) Proved: T4 theorem T4 (H : p) (H::1 : p ∧ q) (H::2 : r) : q ∧ r ∧ p := and_intro (and_elimr H::1) (and_intro H::2 H)