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Definition df-mpq 6500
 Description: Define pre-multiplication on positive fractions. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-2.4 of [Gleason] p. 119. (Contributed by NM, 28-Aug-1995.)
Assertion
Ref Expression
df-mpq
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-mpq
StepHypRef Expression
1 cmpq 6432 . 2
2 vx . . 3
3 vy . . 3
4 cnpi 6427 . . . 4
54, 4cxp 4370 . . 3
62cv 1258 . . . . . 6
7 c1st 5792 . . . . . 6
86, 7cfv 4929 . . . . 5
93cv 1258 . . . . . 6
109, 7cfv 4929 . . . . 5
11 cmi 6429 . . . . 5
128, 10, 11co 5539 . . . 4
13 c2nd 5793 . . . . . 6
146, 13cfv 4929 . . . . 5
159, 13cfv 4929 . . . . 5
1614, 15, 11co 5539 . . . 4
1712, 16cop 3405 . . 3
182, 3, 5, 5, 17cmpt2 5541 . 2
191, 18wceq 1259 1
 Colors of variables: wff set class This definition is referenced by:  dfmpq2  6510  mulpipq2  6526
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