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Definition df-1r 7278
Description: Define signed real constant 1. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126. (Contributed by NM, 9-Aug-1995.)
Assertion
Ref Expression
df-1r  |-  1R  =  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R

Detailed syntax breakdown of Definition df-1r
StepHypRef Expression
1 c1r 6858 . 2  class  1R
2 c1p 6851 . . . . 5  class  1P
3 cpp 6852 . . . . 5  class  +P.
42, 2, 3co 5652 . . . 4  class  ( 1P 
+P.  1P )
54, 2cop 3449 . . 3  class  <. ( 1P  +P.  1P ) ,  1P >.
6 cer 6855 . . 3  class  ~R
75, 6cec 6290 . 2  class  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R
81, 7wceq 1289 1  wff  1R  =  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  1sr  7297  m1p1sr  7306  m1m1sr  7307  0lt1sr  7311  1idsr  7314  recexgt0sr  7319  caucvgsrlembound  7339  caucvgsr  7347  pitonnlem1  7382  pitonnlem2  7384  recidpirq  7395  nntopi  7429
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