fact: Definition Book_7_9_oo_neg1 `{Univalence} (AC_oo_neg1 : forall X : HSet, HasChoice X) (A : Type) : merely (exists X : HSet, exists p : X -> A, IsSurjection p) := @HoTT.Projective.projective_cover_AC AC_oo_neg1 _ A.
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)