Definition df-0r

Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. From Proposition 9-4.2 of Gleason p. 126. (Contributed by NM, 9-Aug-1995) (New usage is discouraged.)

	Ref	Expression
Assertion	df-0r	$$⊢0_{𝑹}=\left[⟨1_{𝑷},1_{𝑷}⟩\right]{~}_{𝑹}$$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		c0r	$$class{0}_{𝑹}$$
1		c1p	$$class{1}_{𝑷}$$
2	1 1	cop	$$class⟨1_{𝑷},1_{𝑷}⟩$$
3		cer	$$class{~}_{𝑹}$$
4	2 3	cec	$$class\left[⟨1_{𝑷},1_{𝑷}⟩\right]{~}_{𝑹}$$
5	0 4	wceq	$$wff{0}_{𝑹}=\left[⟨1_{𝑷},1_{𝑷}⟩\right]{~}_{𝑹}$$