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Axiom ax-i2m1 8892
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 8868. (Contributed by NM, 29-Jan-1995.)
Assertion
Ref Expression
ax-i2m1  |-  ( ( _i  x.  _i )  +  1 )  =  0

Detailed syntax breakdown of Axiom ax-i2m1
StepHypRef Expression
1 ci 8826 . . . 4  class  _i
2 cmul 8829 . . . 4  class  x.
31, 1, 2co 5942 . . 3  class  ( _i  x.  _i )
4 c1 8825 . . 3  class  1
5 caddc 8827 . . 3  class  +
63, 4, 5co 5942 . 2  class  ( ( _i  x.  _i )  +  1 )
7 cc0 8824 . 2  class  0
86, 7wceq 1642 1  wff  ( ( _i  x.  _i )  +  1 )  =  0
Colors of variables: wff set class
This axiom is referenced by:  0cn  8918  mul02lem2  9076  addid1  9079  cnegex2  9081  ine0  9302  ixi  9484  inelr  9823
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