MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-m1r Unicode version

Definition df-m1r 8688
Description: Define signed real constant -1. This is a "temporary" set used in the construction of complex numbers df-c 8743, and is intended to be used only by the construction. (Contributed by NM, 9-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-m1r  |-  -1R  =  [ <. 1P ,  ( 1P  +P.  1P )
>. ]  ~R

Detailed syntax breakdown of Definition df-m1r
StepHypRef Expression
1 cm1r 8492 . 2  class  -1R
2 c1p 8482 . . . 4  class  1P
3 cpp 8483 . . . . 5  class  +P.
42, 2, 3co 5858 . . . 4  class  ( 1P 
+P.  1P )
52, 4cop 3643 . . 3  class  <. 1P , 
( 1P  +P.  1P ) >.
6 cer 8488 . . 3  class  ~R
75, 6cec 6658 . 2  class  [ <. 1P ,  ( 1P  +P.  1P ) >. ]  ~R
81, 7wceq 1623 1  wff  -1R  =  [ <. 1P ,  ( 1P  +P.  1P )
>. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  m1r  8704  m1p1sr  8714  m1m1sr  8715  mappsrpr  8730  map2psrpr  8732
  Copyright terms: Public domain W3C validator