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Axiom ax-1rid 7354
Description:  1 is an identity element for real multiplication. Axiom for real and complex numbers, justified by theorem ax1rid 7314. (Contributed by NM, 29-Jan-1995.)
Assertion
Ref Expression
ax-1rid  |-  ( A  e.  RR  ->  ( A  x.  1 )  =  A )

Detailed syntax breakdown of Axiom ax-1rid
StepHypRef Expression
1 cA . . 3  class  A
2 cr 7251 . . 3  class  RR
31, 2wcel 1434 . 2  wff  A  e.  RR
4 c1 7253 . . . 4  class  1
5 cmul 7257 . . . 4  class  x.
61, 4, 5co 5590 . . 3  class  ( A  x.  1 )
76, 1wceq 1285 . 2  wff  ( A  x.  1 )  =  A
83, 7wi 4 1  wff  ( A  e.  RR  ->  ( A  x.  1 )  =  A )
Colors of variables: wff set class
This axiom is referenced by:  mulid1  7387  mulgt1  8217  ltmulgt11  8218  lemulge11  8220  addltmul  8543
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