fact: Definition functor_coeq_sect {B A f g B' A' f' g'} (h : B -> B') (k : A -> A') (p : k o f == f' o h) (q : k o g == g' o h) (h' : B' -> B) (k' : A' -> A) (p' : k' o f' == f o h') (q' : k' o g' == g o h') (r : h' o h == idmap) (s : k' o k == idmap) (u : forall b, ap k' (p b) @ p' (h b) @ ap f (r b) = s (f b)) (v : forall b, ap k' (q b) @ q' (h b) @ ap g (r b) = s (g b)) : (functor_coeq h' k' p' q') o (functor_coeq h k p q) == idmap.
imports: Basics Types.Paths Types.Arrow Types.Sigma Types.Forall Types.Universe Types.Prod Cubical.DPath Colimits.GraphQuotient