`{Univalence} {A B : Group} (f : A $-> B) : IsExact purely (grp_trivial_rec A) f <~> (grp_kernel f = trivial_subgroup :> Subgroup _) := (equiv_kernel_isembedding f)^-1%equiv oE equiv_iff_hprop_uncurried (iff_grp_isexact_isembedding f).
Require Import Basics Types. Require Import Truncations.Core. Require Import WildCat.Core Pointed. Require Import Groups.Group Groups.Subgroup Groups.Kernel. Require Import Homotopy.ExactSequence Modalities.Identity.