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Definition df-of 6320
Description: Define the function operation map. The definition is designed so that if is a binary operation, then is the analogous operation on functions which corresponds to applying pointwise to the values of the functions. (Contributed by Mario Carneiro, 20-Jul-2014.)
Assertion
Ref Expression
df-of
Distinct variable group:   , , ,

Detailed syntax breakdown of Definition df-of
StepHypRef Expression
1 cR . . 3
21cof 6318 . 2
3 vf . . 3
4 vg . . 3
5 cvv 2972 . . 3
6 vx . . . 4
73cv 1368 . . . . . 6
87cdm 4840 . . . . 5
94cv 1368 . . . . . 6
109cdm 4840 . . . . 5
118, 10cin 3327 . . . 4
126cv 1368 . . . . . 6
1312, 7cfv 5418 . . . . 5
1412, 9cfv 5418 . . . . 5
1513, 14, 1co 6091 . . . 4
166, 11, 15cmpt 4350 . . 3
173, 4, 5, 5, 16cmpt2 6093 . 2
182, 17wceq 1369 1
Colors of variables: wff setvar class
This definition is referenced by:  ofeq  6322  ofexg  6324  offval  6327  offval3  6571  ofmres  6573
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