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Mirrors > Home > ILE Home > Th. List > df-nq0 | GIF version |
Description: Define class of non-negative fractions. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by Jim Kingdon, 2-Nov-2019.) |
Ref | Expression |
---|---|
df-nq0 | ⊢ Q0 = ((ω × N) / ~Q0 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnq0 6385 | . 2 class Q0 | |
2 | com 4313 | . . . 4 class ω | |
3 | cnpi 6370 | . . . 4 class N | |
4 | 2, 3 | cxp 4343 | . . 3 class (ω × N) |
5 | ceq0 6384 | . . 3 class ~Q0 | |
6 | 4, 5 | cqs 6105 | . 2 class ((ω × N) / ~Q0 ) |
7 | 1, 6 | wceq 1243 | 1 wff Q0 = ((ω × N) / ~Q0 ) |
Colors of variables: wff set class |
This definition is referenced by: dfmq0qs 6527 dfplq0qs 6528 nq0ex 6538 nqnq0 6539 nq0nn 6540 addclnq0 6549 mulclnq0 6550 distrnq0 6557 mulcomnq0 6558 addassnq0 6560 prarloclemcalc 6600 |
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