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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cpi 14168 |
. 2
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2 | crp 11331 |
. . . 4
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3 | csin 14165 |
. . . . . 6
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4 | 3 | ccnv 4852 |
. . . . 5
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5 | cc0 9565 |
. . . . . 6
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6 | 5 | csn 3980 |
. . . . 5
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7 | 4, 6 | cima 4856 |
. . . 4
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8 | 2, 7 | cin 3415 |
. . 3
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9 | cr 9564 |
. . 3
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10 | clt 9701 |
. . 3
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11 | 8, 9, 10 | cinf 7981 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 1, 11 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: pilem2 23456 pilem3 23458 |
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