Definition df-plq 10905

Description: Define addition on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 11112, and is intended to be used only by the construction. From Proposition 9-2.3 of [Gleason] p. 117. (Contributed by NM, 24-Aug-1995.) (New usage is discouraged.)

Assertion

Ref	Expression
df-plq	⊢ +Q = (([Q] ∘ +pQ ) ↾ (Q × Q))

Detailed syntax breakdown of Definition df-plq

Step	Hyp	Ref	Expression
1		cplq 10846	. 2 class +Q
2		cerq 10845	. . . 4 class [Q]
3		cplpq 10839	. . . 4 class +pQ
4	2, 3	ccom 5679	. . 3 class ([Q] ∘ +pQ )
5		cnq 10843	. . . 4 class Q
6	5, 5	cxp 5673	. . 3 class (Q × Q)
7	4, 6	cres 5677	. 2 class (([Q] ∘ +pQ ) ↾ (Q × Q))
8	1, 7	wceq 1542	1 wff +Q = (([Q] ∘ +pQ ) ↾ (Q × Q))

This definition is referenced by:  addpqnq  10929  addnqf  10939