Forum:Do you still get the trophies of beating Subspace Emissionary on easy/medium/hard/very hard if you beat it on intense?

I was just wondering that if you beat Subspace Emissionary on the Intense difficulty and get the trophy for beating it on Intense, do you get the other trophies that you would get it you beat Subspace on the easier difficulties, or do you have to basically play the entire Subspace mode 5 times to get all 5 trophies?