proposition: Lemma mor_fipr_dotted : forall a u v y1 y2, has_fiprod a u v -> fiprod_hypothesis a u v y1 y2 -> mor a (fipr_dotted a u v y1 y2).
proof: Proof. ir. cp (cone_composable_fipr_dotted H H0). uh H1; ee. rwi cone_target_fiprod_cone H2. am. Qed.
imports: Arith colimits little_cat fc_limits cardinal