Definition df-r 9946

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 9935	. 2 class ℝ
2		cnr 9687	. . 3 class R
3		c0r 9688	. . . 4 class 0R
4	3	csn 4177	. . 3 class {0R}
5	2, 4	cxp 5112	. 2 class (R × {0R})
6	1, 5	wceq 1483	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  9951  elreal  9952  elreal2  9953  axresscn  9969  ax1rid  9982  avril1  27319