fact: Definition detachable_finite_subset {X} `{Finite X} (P : X -> Type) `{forall x, IsHProp (P x)} {Pf : Finite ({ x:X & P x })} : forall x, Decidable (P x).
imports: Basics Types HSet Spaces.Nat.Core HFiber Factorization Truncations Colimits.Quotient Projective Fin