Definition df-r 11039

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

Assertion

Ref	Expression
df-r	⊢ ℝ = (R × {0R})

Detailed syntax breakdown of Definition df-r

Step	Hyp	Ref	Expression
1		cr 11028	. 2 class ℝ
2		cnr 10779	. . 3 class R
3		c0r 10780	. . . 4 class 0R
4	3	csn 4568	. . 3 class {0R}
5	2, 4	cxp 5622	. 2 class (R × {0R})
6	1, 5	wceq 1542	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  11044  elreal  11045  elreal2  11046  axresscn  11062  ax1rid  11075  avril1  30548