Definition df-m1r

Description: Define signed real constant -1. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. (Contributed by NM, 9-Aug-1995) (New usage is discouraged.)

	Ref	Expression
Assertion	df-m1r	$$⊢{-1}_{𝑹}=\left[⟨1_{𝑷},1_{𝑷}{+}_{𝑷}{1}_{𝑷}⟩\right]{~}_{𝑹}$$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cm1r	$$class{-1}_{𝑹}$$
1		c1p	$$class{1}_{𝑷}$$
2		cpp	$$class{+}_{𝑷}$$
3	1 1 2	co	$$class\left(1_{𝑷}{+}_{𝑷}{1}_{𝑷}\right)$$
4	1 3	cop	$$class⟨1_{𝑷},1_{𝑷}{+}_{𝑷}{1}_{𝑷}⟩$$
5		cer	$$class{~}_{𝑹}$$
6	4 5	cec	$$class\left[⟨1_{𝑷},1_{𝑷}{+}_{𝑷}{1}_{𝑷}⟩\right]{~}_{𝑹}$$
7	0 6	wceq	$$wff{-1}_{𝑹}=\left[⟨1_{𝑷},1_{𝑷}{+}_{𝑷}{1}_{𝑷}⟩\right]{~}_{𝑹}$$