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	⊢ 0R = [ ⟨ 1P , 1P ⟩ ] ~R

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		c0r	⊢ 0R
1		c1p	⊢ 1P
2	1 1	cop	⊢ ⟨ 1P , 1P ⟩
3		cer	⊢ ~R
4	2 3	cec	⊢ [ ⟨ 1P , 1P ⟩ ] ~R
5	0 4	wceq	⊢ 0R = [ ⟨ 1P , 1P ⟩ ] ~R