fact: Definition equiv_path_TypeO@{i j} {fs : Funext} O (T T' : Type_@{i j} O) : (paths@{j} T.1 T'.1) <~> (T = T') := equiv_path_sigma_hprop@{j i j} T T'.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout