fact: Definition coprod_ump2 {A B X} : (A -> X) * (B -> X) -> (A + B -> X) := prod_rect (fun _ => A + B -> X) (fun f g => sum_rect (fun _ => X) f g).
imports: HoTT(Basics Types HProp HSet Projective TruncType Truncations Modalities.Notnot Modalities.Open Modalities.Closed BoundedSearch Equiv.BiInv Spaces.Nat Spaces.Torus.TorusEquivCircles Metatheory.Core Metatheory.FunextVarieties)