Metamath Proof Explorer


Definition df-range

Description: Define the range function. See brrange for its value. (Contributed by Scott Fenton, 11-Apr-2014)

Ref Expression
Assertion df-range
|- Range = Image ( 2nd |` ( _V X. _V ) )

Detailed syntax breakdown

Step Hyp Ref Expression
0 crange
 |-  Range
1 c2nd
 |-  2nd
2 cvv
 |-  _V
3 2 2 cxp
 |-  ( _V X. _V )
4 1 3 cres
 |-  ( 2nd |` ( _V X. _V ) )
5 4 cimage
 |-  Image ( 2nd |` ( _V X. _V ) )
6 0 5 wceq
 |-  Range = Image ( 2nd |` ( _V X. _V ) )