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Definition df-1r 7504
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 7071 . 2  class  1R
2 c1p 7064 . . . . 5  class  1P
3 cpp 7065 . . . . 5  class  +P.
42, 2, 3co 5740 . . . 4  class  ( 1P 
+P.  1P )
54, 2cop 3498 . . 3  class  <. ( 1P  +P.  1P ) ,  1P >.
6 cer 7068 . . 3  class  ~R
75, 6cec 6393 . 2  class  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R
81, 7wceq 1314 1  wff  1R  =  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  1sr  7523  m1p1sr  7532  m1m1sr  7533  0lt1sr  7537  1idsr  7540  recexgt0sr  7545  caucvgsrlembound  7566  caucvgsr  7574  pitonnlem1  7617  pitonnlem2  7619  recidpirq  7630  nntopi  7666
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