nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpq9wddcelhs6gvweg09c8d53hjns2khzlmh4dgy2mqfjhqxx5nfepquflgwr (nprofile…lgwr) nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpq65uwh044df57gvskvnzk8h3quenfsdym64rjymdfeav7xe7gfmsq42ktwk (nprofile…ktwk)
I am sure you can translate this Agda proof by induction on natural numbers to MLTT:
https://martinescardo.github.io/TypeTopology/UF.DiscreteAndSeparated.html#2460