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Axiom ax-i2m1 9018
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 8994. (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 8952 . . . 4  class  _i
2 cmul 8955 . . . 4  class  x.
31, 1, 2co 6044 . . 3  class  ( _i  x.  _i )
4 c1 8951 . . 3  class  1
5 caddc 8953 . . 3  class  +
63, 4, 5co 6044 . 2  class  ( ( _i  x.  _i )  +  1 )
7 cc0 8950 . 2  class  0
86, 7wceq 1649 1  wff  ( ( _i  x.  _i )  +  1 )  =  0
Colors of variables: wff set class
This axiom is referenced by:  0cn  9044  mul02lem2  9203  addid1  9206  cnegex2  9208  ine0  9429  ixi  9611  inelr  9950
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