Definition df-r 8025

Description: Define the set of real numbers. (Contributed by NM, 22-Feb-1996.)

Assertion

Ref	Expression
df-r	⊢ ℝ = (R × {0R})

Detailed syntax breakdown of Definition df-r

Step	Hyp	Ref	Expression
1		cr 8014	. 2 class ℝ
2		cnr 7500	. . 3 class R
3		c0r 7501	. . . 4 class 0R
4	3	csn 3666	. . 3 class {0R}
5	2, 4	cxp 4718	. 2 class (R × {0R})
6	1, 5	wceq 1395	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  8030  elreal  8031  elreal2  8033  axresscn  8063  ax1rid  8080