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Definition df-he 36412
Description: The property of relation  R being hereditary in class  A. (Contributed by RP, 27-Mar-2020.)
Assertion
Ref Expression
df-he  |-  ( R hereditary  A 
<->  ( R " A
)  C_  A )

Detailed syntax breakdown of Definition df-he
StepHypRef Expression
1 cA . . 3  class  A
2 cR . . 3  class  R
31, 2whe 36411 . 2  wff  R hereditary  A
42, 1cima 4855 . . 3  class  ( R
" A )
54, 1wss 3415 . 2  wff  ( R
" A )  C_  A
63, 5wb 189 1  wff  ( R hereditary  A 
<->  ( R " A
)  C_  A )
Colors of variables: wff setvar class
This definition is referenced by:  dfhe2  36413  dfhe3  36414  heeq12  36415  sbcheg  36418  hess  36419  xphe  36420  0he  36422  he0  36424  unhe1  36425  snhesn  36426  dffrege76  36579
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