Metamath Proof Explorer


Definition df-singles

Description: Define the class of all singletons. See elsingles for membership. (Contributed by Scott Fenton, 19-Feb-2013)

Ref Expression
Assertion df-singles
|- Singletons = ran Singleton

Detailed syntax breakdown

Step Hyp Ref Expression
0 csingles
 |-  Singletons
1 csingle
 |-  Singleton
2 1 crn
 |-  ran Singleton
3 0 2 wceq
 |-  Singletons = ran Singleton