proposition: Lemma mor_coeqz_dotted : forall a u v y, has_coequalizer a u v -> coequalizer_hypothesis a u v y -> mor a (coeqz_dotted a u v y).
proof: Proof. ir. rwi has_coeq_has_eq H. rwi coeq_hyp_eq_hyp H0. uf coeqz_dotted. wr mor_opp. app mor_eqz_dotted. uh H0; ee. uh H1; ee; am. uh H0; ee. uh H1; ee; am. Qed.
imports: Arith colimits little_cat fc_limits cardinal