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Axiom ax-i2m1 11223
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 11199. (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 11157 . . . 4 class i
2 cmul 11160 . . . 4 class ·
31, 1, 2co 7431 . . 3 class (i · i)
4 c1 11156 . . 3 class 1
5 caddc 11158 . . 3 class +
63, 4, 5co 7431 . 2 class ((i · i) + 1)
7 cc0 11155 . 2 class 0
86, 7wceq 1540 1 wff ((i · i) + 1) = 0
Colors of variables: wff setvar class
This axiom is referenced by:  0cn  11253  mul02lem2  11438  addrid  11441  cnegex2  11443  ine0  11698  ixi  11892  inelr  12256  c0exALT  42293  sn-1ne2  42300  re1m1e0m0  42427  reixi  42452  sn-inelr  42497
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