(O : Modality) {F X Y : pType} (i : F ->* X) (f : X ->* Y) `{IsExact O _ _ _ i f} (x : hfiber f pt) : O (hfiber i x.1). Proof. srapply isexact_preimage; exact x.2. Defined.
Require Import Basics Types. Require Import SuccessorStructure. Require Import WildCat. Require Import Pointed. Require Import Modalities.Identity Modalities.Descent. Require Import Truncations. Require Import HFiber. Require Import ObjectClassifier.