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Definition df-oppr 16649
Description: Define an opposite ring, which is the same as the original ring but with multiplication written the other way around. (Contributed by Mario Carneiro, 1-Dec-2014.)
Assertion
Ref Expression
df-oppr  |- oppr  =  ( f  e.  _V  |->  ( f sSet  <. ( .r `  ndx ) , tpos  ( .r `  f
) >. ) )

Detailed syntax breakdown of Definition df-oppr
StepHypRef Expression
1 coppr 16648 . 2  class oppr
2 vf . . 3  setvar  f
3 cvv 2962 . . 3  class  _V
42cv 1361 . . . 4  class  f
5 cnx 14154 . . . . . 6  class  ndx
6 cmulr 14222 . . . . . 6  class  .r
75, 6cfv 5406 . . . . 5  class  ( .r
`  ndx )
84, 6cfv 5406 . . . . . 6  class  ( .r
`  f )
98ctpos 6733 . . . . 5  class tpos  ( .r
`  f )
107, 9cop 3871 . . . 4  class  <. ( .r `  ndx ) , tpos  ( .r `  f
) >.
11 csts 14155 . . . 4  class sSet
124, 10, 11co 6080 . . 3  class  ( f sSet  <. ( .r `  ndx ) , tpos  ( .r `  f ) >. )
132, 3, 12cmpt 4338 . 2  class  ( f  e.  _V  |->  ( f sSet  <. ( .r `  ndx ) , tpos  ( .r `  f ) >. )
)
141, 13wceq 1362 1  wff oppr  =  ( f  e.  _V  |->  ( f sSet  <. ( .r `  ndx ) , tpos  ( .r `  f
) >. ) )
Colors of variables: wff setvar class
This definition is referenced by:  opprval  16650
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