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Axiom ax-i2m1 8801
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 8777. (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 8735 . . . 4  class  _i
2 cmul 8738 . . . 4  class  x.
31, 1, 2co 5820 . . 3  class  ( _i  x.  _i )
4 c1 8734 . . 3  class  1
5 caddc 8736 . . 3  class  +
63, 4, 5co 5820 . 2  class  ( ( _i  x.  _i )  +  1 )
7 cc0 8733 . 2  class  0
86, 7wceq 1624 1  wff  ( ( _i  x.  _i )  +  1 )  =  0
Colors of variables: wff set class
This axiom is referenced by:  0cn  8827  mul02lem2  8985  addid1  8988  cnegex2  8990  ine0  9211  ixi  9393  inelr  9732  cnegvex2  25060
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