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Axiom ax-i2m1 7213
Description: i-squared equals -1 (expressed as i-squared plus 1 is 0). Axiom for real and complex numbers, justified by theorem axi2m1 7173. (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 7115 . . . 4  class  _i
2 cmul 7118 . . . 4  class  x.
31, 1, 2co 5564 . . 3  class  ( _i  x.  _i )
4 c1 7114 . . 3  class  1
5 caddc 7116 . . 3  class  +
63, 4, 5co 5564 . 2  class  ( ( _i  x.  _i )  +  1 )
7 cc0 7113 . 2  class  0
86, 7wceq 1285 1  wff  ( ( _i  x.  _i )  +  1 )  =  0
Colors of variables: wff set class
This axiom is referenced by:  0cn  7243  ine0  7635  ixi  7820  inelr  7821
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