Section LoKan_Cone_Morph_eq_simplify.
Context {Cn Cn' : LoKan_Cone p F} (M M' : LoKan_Cone_Morph Cn Cn').

(** Two local kan extension cone morphisms are equal if their underlying natural transformations are. *)
Theorem LoKan_Cone_Morph_eq_simplify : M = M' :> (_ –≻ _)%nattrans → M = M'.