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Definition df-cosh 28204
Description: Define the hyperbolic cosine function (cosh). We define it this way for cmpt 4077, which requires the form  (
x  e.  A  |->  B ). (Contributed by David A. Wheeler, 10-May-2015.)
Assertion
Ref Expression
df-cosh  |- cosh  =  ( x  e.  CC  |->  ( cos `  ( _i  x.  x ) ) )

Detailed syntax breakdown of Definition df-cosh
StepHypRef Expression
1 ccosh 28201 . 2  class cosh
2 vx . . 3  set  x
3 cc 8735 . . 3  class  CC
4 ci 8739 . . . . 5  class  _i
52cv 1622 . . . . 5  class  x
6 cmul 8742 . . . . 5  class  x.
74, 5, 6co 5858 . . . 4  class  ( _i  x.  x )
8 ccos 12346 . . . 4  class  cos
97, 8cfv 5255 . . 3  class  ( cos `  ( _i  x.  x
) )
102, 3, 9cmpt 4077 . 2  class  ( x  e.  CC  |->  ( cos `  ( _i  x.  x
) ) )
111, 10wceq 1623 1  wff cosh  =  ( x  e.  CC  |->  ( cos `  ( _i  x.  x ) ) )
Colors of variables: wff set class
This definition is referenced by:  coshval-named  28207
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