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Definition df-ltpq 9164
Description: Define pre-ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 9373, 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 9102 . 2
2 vx . . . . . . 7
32cv 1369 . . . . . 6
4 cnpi 9096 . . . . . . 7
54, 4cxp 4920 . . . . . 6
63, 5wcel 1757 . . . . 5
7 vy . . . . . . 7
87cv 1369 . . . . . 6
98, 5wcel 1757 . . . . 5
106, 9wa 369 . . . 4
11 c1st 6659 . . . . . . 7
123, 11cfv 5500 . . . . . 6
13 c2nd 6660 . . . . . . 7
148, 13cfv 5500 . . . . . 6
15 cmi 9098 . . . . . 6
1612, 14, 15co 6174 . . . . 5
178, 11cfv 5500 . . . . . 6
183, 13cfv 5500 . . . . . 6
1917, 18, 15co 6174 . . . . 5
20 clti 9099 . . . . 5
2116, 19, 20wbr 4374 . . . 4
2210, 21wa 369 . . 3
2322, 2, 7copab 4431 . 2
241, 23wceq 1370 1
Colors of variables: wff setvar class
This definition is referenced by:  ordpipq  9196  lterpq  9224
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