Set: pp::colors Set: pp::unicode Defined: xor ⊤ ⊕ ⊥ ⊥ ⊤ Assumed: a a ⊕ a ⊕ a Π (A : Type U) (a b : A) (P : A → Bool) (H1 : P a) (H2 : a = b), P b Proved: EM2 Π a : Bool, a ∨ ¬ a a ∨ ¬ a