Definition df-r 10704

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 10693	. 2 class ℝ
2		cnr 10444	. . 3 class R
3		c0r 10445	. . . 4 class 0R
4	3	csn 4527	. . 3 class {0R}
5	2, 4	cxp 5534	. 2 class (R × {0R})
6	1, 5	wceq 1543	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  10709  elreal  10710  elreal2  10711  axresscn  10727  ax1rid  10740  avril1  28500