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Axiom ax-i2m1 7689
Description: i-squared equals -1 (expressed as i-squared plus 1 is 0). Axiom for real and complex numbers, justified by theorem axi2m1 7647. (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 7586 . . . 4  class  _i
2 cmul 7589 . . . 4  class  x.
31, 1, 2co 5740 . . 3  class  ( _i  x.  _i )
4 c1 7585 . . 3  class  1
5 caddc 7587 . . 3  class  +
63, 4, 5co 5740 . 2  class  ( ( _i  x.  _i )  +  1 )
7 cc0 7584 . 2  class  0
86, 7wceq 1314 1  wff  ( ( _i  x.  _i )  +  1 )  =  0
Colors of variables: wff set class
This axiom is referenced by:  0cn  7722  ine0  8120  ixi  8308  inelr  8309
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