ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-1r Unicode version

Definition df-1r 7048
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 6628 . 2  class  1R
2 c1p 6621 . . . . 5  class  1P
3 cpp 6622 . . . . 5  class  +P.
42, 2, 3co 5565 . . . 4  class  ( 1P 
+P.  1P )
54, 2cop 3420 . . 3  class  <. ( 1P  +P.  1P ) ,  1P >.
6 cer 6625 . . 3  class  ~R
75, 6cec 6193 . 2  class  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R
81, 7wceq 1285 1  wff  1R  =  [ <. ( 1P  +P.  1P ) ,  1P >. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  1sr  7067  m1p1sr  7076  m1m1sr  7077  0lt1sr  7081  1idsr  7084  recexgt0sr  7089  caucvgsrlembound  7109  caucvgsr  7117  pitonnlem1  7152  pitonnlem2  7154  recidpirq  7165  nntopi  7199
  Copyright terms: Public domain W3C validator