Definition df-r 10546

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 10535	. 2 class ℝ
2		cnr 10286	. . 3 class R
3		c0r 10287	. . . 4 class 0R
4	3	csn 4566	. . 3 class {0R}
5	2, 4	cxp 5552	. 2 class (R × {0R})
6	1, 5	wceq 1533	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  10551  elreal  10552  elreal2  10553  axresscn  10569  ax1rid  10582  avril1  28241