Definition df-r 8189

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 8178	. 2 class ℝ
2		cnr 7664	. . 3 class R
3		c0r 7665	. . . 4 class 0R
4	3	csn 3709	. . 3 class {0R}
5	2, 4	cxp 4772	. 2 class (R × {0R})
6	1, 5	wceq 1402	1 wff ℝ = (R × {0R})

This definition is used by:  opelreal  8194  elreal  8195  elreal2  8197  axresscn  8227  ax1rid  8244