Definition df-r 7889

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 7878	. 2 class ℝ
2		cnr 7364	. . 3 class R
3		c0r 7365	. . . 4 class 0R
4	3	csn 3622	. . 3 class {0R}
5	2, 4	cxp 4661	. 2 class (R × {0R})
6	1, 5	wceq 1364	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal  7894  elreal  7895  elreal2  7897  axresscn  7927  ax1rid  7944