proposition: Lemma is_coequalizer_coequalizer : forall a u v, has_coequalizer a u v -> is_coequalizer a u v (coequalizer a u v).
proof: Proof. ir. assert (Category.axioms a). uh H; ee. uh H; ee. uh H; ee; am. uhg; ee; try am. uf coequalizer. rw flip_flip. ap is_equalizer_equalizer. uh H; ee. am. Qed.
imports: Arith colimits little_cat fc_limits cardinal