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 × V ) )

Detailed syntax breakdown

Step Hyp Ref Expression
0 crange Range
1 c2nd 2nd
2 cvv V
3 2 2 cxp ( V × V )
4 1 3 cres ( 2nd ↾ ( V × V ) )
5 4 cimage Image ( 2nd ↾ ( V × V ) )
6 0 5 wceq Range = Image ( 2nd ↾ ( V × V ) )