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Definition df-1r 6660
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 6283 . 2  1R
2 c1p 6276 . . . . 5  1P
3 cpp 6277 . . . . 5  +P.
42, 2, 3co 5455 . . . 4  1P 
+P.  1P
54, 2cop 3370 . . 3  <. 1P  +P.  1P ,  1P >.
6 cer 6280 . . 3  ~R
75, 6cec 6040 . 2  <. 1P  +P.  1P ,  1P >.  ~R
81, 7wceq 1242 1  1R  <. 1P  +P.  1P ,  1P >. 
~R
Colors of variables: wff set class
This definition is referenced by:  1sr  6679  m1p1sr  6688  m1m1sr  6689  0lt1sr  6693  1idsr  6696  recexgt0sr  6701  pitonnlem1  6741  pitonnlem2  6743
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