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Mirrors > Home > MPE Home > Th. List > ax-i2m1 | Structured version Visualization version Unicode version |
Description: i-squared equals -1 (expressed as i-squared plus 1 is 0). Axiom 12 of 22 for real and complex numbers, justified by theorem axi2m1 9980. (Contributed by NM, 29-Jan-1995.) |
Ref | Expression |
---|---|
ax-i2m1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ci 9938 | . . . 4 | |
2 | cmul 9941 | . . . 4 | |
3 | 1, 1, 2 | co 6650 | . . 3 |
4 | c1 9937 | . . 3 | |
5 | caddc 9939 | . . 3 | |
6 | 3, 4, 5 | co 6650 | . 2 |
7 | cc0 9936 | . 2 | |
8 | 6, 7 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This axiom is referenced by: 0cn 10032 mul02lem2 10213 addid1 10216 cnegex2 10218 ine0 10465 ixi 10656 inelr 11010 |
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