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Mirrors > Home > ILE Home > Th. List > df-nq0 | Unicode version |
Description: Define class of nonnegative 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 ~Q0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnq0 7095 | . 2 Q0 | |
2 | com 4504 | . . . 4 | |
3 | cnpi 7080 | . . . 4 | |
4 | 2, 3 | cxp 4537 | . . 3 |
5 | ceq0 7094 | . . 3 ~Q0 | |
6 | 4, 5 | cqs 6428 | . 2 ~Q0 |
7 | 1, 6 | wceq 1331 | 1 Q0 ~Q0 |
Colors of variables: wff set class |
This definition is referenced by: dfmq0qs 7237 dfplq0qs 7238 nq0ex 7248 nqnq0 7249 nq0nn 7250 addclnq0 7259 mulclnq0 7260 distrnq0 7267 mulcomnq0 7268 addassnq0 7270 prarloclemcalc 7310 |
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