isconnected_equiv' (A : Type) {B : Type} (f : A <~> B) : IsConnected O A -> IsConnected O B := isconnected_equiv A f.
Require Import HoTT.Basics HoTT.Types. Require Import Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback. Require Import Homotopy.IdentitySystems. Require Import Colimits.Pushout.