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Definition df-ima 4727
 Description: Define the image of one class under another. (Contributed by SF, 5-Jan-2015.)
Assertion
Ref Expression
df-ima (AB) = {x y B yAx}
Distinct variable groups:   x,A,y   x,B,y

Detailed syntax breakdown of Definition df-ima
StepHypRef Expression
1 cA . . 3 class A
2 cB . . 3 class B
31, 2cima 4722 . 2 class (AB)
4 vy . . . . . 6 setvar y
54cv 1641 . . . . 5 class y
6 vx . . . . . 6 setvar x
76cv 1641 . . . . 5 class x
85, 7, 1wbr 4639 . . . 4 wff yAx
98, 4, 2wrex 2615 . . 3 wff y B yAx
109, 6cab 2339 . 2 class {x y B yAx}
113, 10wceq 1642 1 wff (AB) = {x y B yAx}
 Colors of variables: wff setvar class This definition is referenced by:  dfima2  4745  elima  4754  imaeq1  4937  imaeq2  4938  dfima4  4952  nfima  4953  imadmrn  5008  imasn  5018  dfimafn  5366  isoini  5497  clos1basesuc  5882  enpw1pw  6075
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