(* like SurjectiveMonicMonoidalEnrichment, but the Enrichment is a field, not a parameter *)
Structure SMME :=
{ smme_e : Enrichment
+; smme_see : SurjectiveEnrichment smme_e
; smme_mon : MonoidalEnrichment smme_e
; smme_mee : MonicMonoidalEnrichment _ smme_mon
}.
Coercion smme_e : SMME >-> Enrichment.
+Coercion smme_see : SMME >-> SurjectiveEnrichment.
Coercion smme_mon : SMME >-> MonoidalEnrichment.
Coercion smme_mee : SMME >-> MonicMonoidalEnrichment.