Definition df-r 4038

Description: Define the set of real numbers.

Assertion

Ref	Expression
df-r	⊢ ℝ = (R × {0R})

Detailed syntax breakdown of Definition df-r

Step	Hyp	Ref	Expression
1		cr 4027	. 2 class ℝ
2		cnr 3787	. . 3 class R
3		c0r 3788	. . . 4 class 0R
4	3	csn 1808	. . 3 class {0R}
5	2, 4	cxp 2408	. 2 class (R × {0R})
6	1, 5	wceq 1091	1 wff ℝ = (R × {0R})

This definition is referenced by:  opelreal 4043  elreal 4044  axresscn 4062

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