Definition df-r 11165

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 11154	. 2 class ℝ
2		cnr 10905	. . 3 class R
3		c0r 10906	. . . 4 class 0R
4	3	csn 4626	. . 3 class {0R}
5	2, 4	cxp 5683	. 2 class (R × {0R})
6	1, 5	wceq 1540	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  11170  elreal  11171  elreal2  11172  axresscn  11188  ax1rid  11201  avril1  30482