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Axiom ax-i2m1 7879
Description: i-squared equals -1 (expressed as i-squared plus 1 is 0). Axiom for real and complex numbers, justified by Theorem axi2m1 7837. (Contributed by NM, 29-Jan-1995.)
Assertion
Ref Expression
ax-i2m1 ((i · i) + 1) = 0

Detailed syntax breakdown of Axiom ax-i2m1
StepHypRef Expression
1 ci 7776 . . . 4 class i
2 cmul 7779 . . . 4 class ·
31, 1, 2co 5853 . . 3 class (i · i)
4 c1 7775 . . 3 class 1
5 caddc 7777 . . 3 class +
63, 4, 5co 5853 . 2 class ((i · i) + 1)
7 cc0 7774 . 2 class 0
86, 7wceq 1348 1 wff ((i · i) + 1) = 0
Colors of variables: wff set class
This axiom is referenced by:  0cn  7912  ine0  8313  ixi  8502  inelr  8503
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