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Mirrors > Home > MPE Home > Th. List > df-pi | Structured version Visualization version Unicode version |
Description: Define pi = 3.14159..., which is the smallest positive number whose sine is zero. Definition of pi in [Gleason] p. 311. (Contributed by Paul Chapman, 23-Jan-2008.) (Revised by AV, 14-Sep-2020.) |
Ref | Expression |
---|---|
df-pi | inf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cpi 14797 | . 2 | |
2 | crp 11832 | . . . 4 | |
3 | csin 14794 | . . . . . 6 | |
4 | 3 | ccnv 5113 | . . . . 5 |
5 | cc0 9936 | . . . . . 6 | |
6 | 5 | csn 4177 | . . . . 5 |
7 | 4, 6 | cima 5117 | . . . 4 |
8 | 2, 7 | cin 3573 | . . 3 |
9 | cr 9935 | . . 3 | |
10 | clt 10074 | . . 3 | |
11 | 8, 9, 10 | cinf 8347 | . 2 inf |
12 | 1, 11 | wceq 1483 | 1 inf |
Colors of variables: wff setvar class |
This definition is referenced by: pilem2 24206 pilem3 24207 |
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