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Definition df-mpq 8786
 Description: Define pre-multiplication on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 8996, 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.) (New usage is discouraged.)
Assertion
Ref Expression
df-mpq
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-mpq
StepHypRef Expression
1 cmpq 8724 . 2
2 vx . . 3
3 vy . . 3
4 cnpi 8719 . . . 4
54, 4cxp 4876 . . 3
62cv 1651 . . . . . 6
7 c1st 6347 . . . . . 6
86, 7cfv 5454 . . . . 5
93cv 1651 . . . . . 6
109, 7cfv 5454 . . . . 5
11 cmi 8721 . . . . 5
128, 10, 11co 6081 . . . 4
13 c2nd 6348 . . . . . 6
146, 13cfv 5454 . . . . 5
159, 13cfv 5454 . . . . 5
1614, 15, 11co 6081 . . . 4
1712, 16cop 3817 . . 3
182, 3, 5, 5, 17cmpt2 6083 . 2
191, 18wceq 1652 1
 Colors of variables: wff set class This definition is referenced by:  mulpipq2  8816  mulpqnq  8818  mulpqf  8823
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