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Theorem cnre 8834
Description: Alias for ax-cnre 8810, for naming consistency. (Contributed by Mario Carneiro, 3-Jan-2013.)
Assertion
Ref Expression
cnre  |-  ( A  e.  CC  ->  E. x  e.  RR  E. y  e.  RR  A  =  ( x  +  ( _i  x.  y ) ) )
Distinct variable group:    x, A, y

Proof of Theorem cnre
StepHypRef Expression
1 ax-cnre 8810 1  |-  ( A  e.  CC  ->  E. x  e.  RR  E. y  e.  RR  A  =  ( x  +  ( _i  x.  y ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    = wceq 1623    e. wcel 1684   E.wrex 2544  (class class class)co 5858   CCcc 8735   RRcr 8736   _ici 8739    + caddc 8740    x. cmul 8742
This theorem is referenced by:  mulid1  8835  1re  8837  mul02  8990  cnegex  8993  recex  9400  creur  9740  creui  9741  cju  9742  cnref1o  10349  replim  11601  ipasslem11  21418
This theorem was proved from axioms:  ax-cnre 8810
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