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Definition df-ltpq 6444
 Description: Define pre-ordering relation 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. Similar to Definition 5 of [Suppes] p. 162. (Contributed by NM, 28-Aug-1995.)
Assertion
Ref Expression
df-ltpq
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-ltpq
StepHypRef Expression
1 cltpq 6376 . 2
2 vx . . . . . . 7
32cv 1242 . . . . . 6
4 cnpi 6370 . . . . . . 7
54, 4cxp 4343 . . . . . 6
63, 5wcel 1393 . . . . 5
7 vy . . . . . . 7
87cv 1242 . . . . . 6
98, 5wcel 1393 . . . . 5
106, 9wa 97 . . . 4
11 c1st 5765 . . . . . . 7
123, 11cfv 4902 . . . . . 6
13 c2nd 5766 . . . . . . 7
148, 13cfv 4902 . . . . . 6
15 cmi 6372 . . . . . 6
1612, 14, 15co 5512 . . . . 5
178, 11cfv 4902 . . . . . 6
183, 13cfv 4902 . . . . . 6
1917, 18, 15co 5512 . . . . 5
20 clti 6373 . . . . 5
2116, 19, 20wbr 3764 . . . 4
2210, 21wa 97 . . 3
2322, 2, 7copab 3817 . 2
241, 23wceq 1243 1
 Colors of variables: wff set class This definition is referenced by: (None)
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