Definition df-1p 3881

Description: Define the positive real constant 1. 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. Definition of [Gleason] p. 122.

Assertion

Ref	Expression
df-1p	⊢ 1P = {x∣x <Q 1Q}

Detailed syntax breakdown of Definition df-1p

Step	Hyp	Ref	Expression
1		c1p 3780	. 2 class 1P<ÿTD>
2		vx	. . . . 5 set x
3	2	cv 1089	. . . 4 class x
4		c1q 3774	. . . 4 class 1Q
5		cltq 3778	. . . 4 class <Q
6	3, 4, 5	wbr 2054	. . 3 wff x <Q 1Q
7	6, 2	cab 1090	. 2 class {x∣x <Q 1Q}
8	1, 7	wceq 1091	1 wff 1P = {x∣x <Q 1Q}

This definition is referenced by:  1pr 3911  1idpr 3927  reclem3pr 3952  reclem4pr 3953

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