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Definition df-mq 9929
Description: Define multiplication on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 10134, and is intended to be used only by the construction. From Proposition 9-2.4 of [Gleason] p. 119. (Contributed by NM, 24-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-mq ·Q = (([Q] ∘ ·pQ ) ↾ (Q × Q))

Detailed syntax breakdown of Definition df-mq
StepHypRef Expression
1 cmq 9870 . 2 class ·Q
2 cerq 9868 . . . 4 class [Q]
3 cmpq 9863 . . . 4 class ·pQ
42, 3ccom 5270 . . 3 class ([Q] ∘ ·pQ )
5 cnq 9866 . . . 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:  mulpqnq  9955  mulnqf  9963
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