Definition df-0r 3965

Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers df-c 4034, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126.

Assertion

Ref	Expression
df-0r	⊢ 0R = [⟨1P, 1P⟩] ~R

Detailed syntax breakdown of Definition df-0r

Step	Hyp	Ref	Expression
1		c0r 3788	. 2 class 0R
2		c1p 3780	. . . 4 class 1P
3	2, 2	cop 1810	. . 3 class ⟨1P, 1P⟩
4		cer 3786	. . 3 class ~R
5	3, 4	cec 3198	. 2 class [⟨1P, 1P⟩] ~R
6	1, 5	wceq 1091	1 wff 0R = [⟨1P, 1P⟩] ~R

This definition is referenced by:  gt0srpr 3981  0r 3983  m1p1sr 3995  0lt1sr 3998  0idsr 4000  00sr 4002  mappsrpr 4012  map2psrpr 4014

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