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Definition df-ltpq 8414
 Description: Define pre-ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 8623, and is intended to be used only by the construction. Similar to Definition 5 of [Suppes] p. 162. (Contributed by NM, 28-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-ltpq
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-ltpq
StepHypRef Expression
1 cltpq 8352 . 2
2 vx . . . . . . 7
32cv 1618 . . . . . 6
4 cnpi 8346 . . . . . . 7
54, 4cxp 4578 . . . . . 6
63, 5wcel 1621 . . . . 5
7 vy . . . . . . 7
87cv 1618 . . . . . 6
98, 5wcel 1621 . . . . 5
106, 9wa 360 . . . 4
11 c1st 5972 . . . . . . 7
123, 11cfv 4592 . . . . . 6
13 c2nd 5973 . . . . . . 7
148, 13cfv 4592 . . . . . 6
15 cmi 8348 . . . . . 6
1612, 14, 15co 5710 . . . . 5
178, 11cfv 4592 . . . . . 6
183, 13cfv 4592 . . . . . 6
1917, 18, 15co 5710 . . . . 5
20 clti 8349 . . . . 5
2116, 19, 20wbr 3920 . . . 4
2210, 21wa 360 . . 3
2322, 2, 7copab 3973 . 2
241, 23wceq 1619 1
 Colors of variables: wff set class This definition is referenced by:  ordpipq  8446  lterpq  8474
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