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Definition df-ltnqqs 6451
 Description: Define 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, 13-Feb-1996.)
Assertion
Ref Expression
df-ltnqqs
Distinct variable group:   ,,,,,

Detailed syntax breakdown of Definition df-ltnqqs
StepHypRef Expression
1 cltq 6383 . 2
2 vx . . . . . . 7
32cv 1242 . . . . . 6
4 cnq 6378 . . . . . 6
53, 4wcel 1393 . . . . 5
6 vy . . . . . . 7
76cv 1242 . . . . . 6
87, 4wcel 1393 . . . . 5
95, 8wa 97 . . . 4
10 vz . . . . . . . . . . . . . 14
1110cv 1242 . . . . . . . . . . . . 13
12 vw . . . . . . . . . . . . . 14
1312cv 1242 . . . . . . . . . . . . 13
1411, 13cop 3378 . . . . . . . . . . . 12
15 ceq 6377 . . . . . . . . . . . 12
1614, 15cec 6104 . . . . . . . . . . 11
173, 16wceq 1243 . . . . . . . . . 10
18 vv . . . . . . . . . . . . . 14
1918cv 1242 . . . . . . . . . . . . 13
20 vu . . . . . . . . . . . . . 14
2120cv 1242 . . . . . . . . . . . . 13
2219, 21cop 3378 . . . . . . . . . . . 12
2322, 15cec 6104 . . . . . . . . . . 11
247, 23wceq 1243 . . . . . . . . . 10
2517, 24wa 97 . . . . . . . . 9
26 cmi 6372 . . . . . . . . . . 11
2711, 21, 26co 5512 . . . . . . . . . 10
2813, 19, 26co 5512 . . . . . . . . . 10
29 clti 6373 . . . . . . . . . 10
3027, 28, 29wbr 3764 . . . . . . . . 9
3125, 30wa 97 . . . . . . . 8
3231, 20wex 1381 . . . . . . 7
3332, 18wex 1381 . . . . . 6
3433, 12wex 1381 . . . . 5
3534, 10wex 1381 . . . 4
369, 35wa 97 . . 3
3736, 2, 6copab 3817 . 2
381, 37wceq 1243 1
 Colors of variables: wff set class This definition is referenced by:  ltrelnq  6463  ordpipqqs  6472
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