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Mirrors > Home > ILE Home > Th. List > ax-i2m1 | Unicode version |
Description: i-squared equals -1 (expressed as i-squared plus 1 is 0). Axiom for real and complex numbers, justified by theorem axi2m1 7707. (Contributed by NM, 29-Jan-1995.) |
Ref | Expression |
---|---|
ax-i2m1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ci 7646 |
. . . 4
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2 | cmul 7649 |
. . . 4
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3 | 1, 1, 2 | co 5782 |
. . 3
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4 | c1 7645 |
. . 3
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5 | caddc 7647 |
. . 3
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6 | 3, 4, 5 | co 5782 |
. 2
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7 | cc0 7644 |
. 2
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8 | 6, 7 | wceq 1332 |
1
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Colors of variables: wff set class |
This axiom is referenced by: 0cn 7782 ine0 8180 ixi 8369 inelr 8370 |
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