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Definition df-plq 9948
Description: Define addition on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 10154, 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
StepHypRef Expression
1 cplq 9889 . 2 class +Q
2 cerq 9888 . . . 4 class [Q]
3 cplpq 9882 . . . 4 class +pQ
42, 3ccom 5270 . . 3 class ([Q] ∘ +pQ )
5 cnq 9886 . . . 4 class Q
65, 5cxp 5264 . . 3 class (Q × Q)
74, 6cres 5268 . 2 class (([Q] ∘ +pQ ) ↾ (Q × Q))
81, 7wceq 1632 1 wff +Q = (([Q] ∘ +pQ ) ↾ (Q × Q))
Colors of variables: wff setvar class
This definition is referenced by:  addpqnq  9972  addnqf  9982
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