MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-wunc Structured version   Unicode version

Definition df-wunc 9081
Description: A function that maps a set  x to the smallest weak universe that contains the elements of the set. (Contributed by Mario Carneiro, 2-Jan-2017.)
Assertion
Ref Expression
df-wunc  |- wUniCl  =  ( x  e.  _V  |->  |^|
{ u  e. WUni  |  x  C_  u } )
Distinct variable group:    x, u

Detailed syntax breakdown of Definition df-wunc
StepHypRef Expression
1 cwunm 9079 . 2  class wUniCl
2 vx . . 3  setvar  x
3 cvv 3113 . . 3  class  _V
42cv 1378 . . . . . 6  class  x
5 vu . . . . . . 7  setvar  u
65cv 1378 . . . . . 6  class  u
74, 6wss 3476 . . . . 5  wff  x  C_  u
8 cwun 9078 . . . . 5  class WUni
97, 5, 8crab 2818 . . . 4  class  { u  e. WUni  |  x  C_  u }
109cint 4282 . . 3  class  |^| { u  e. WUni  |  x  C_  u }
112, 3, 10cmpt 4505 . 2  class  ( x  e.  _V  |->  |^| { u  e. WUni  |  x  C_  u } )
121, 11wceq 1379 1  wff wUniCl  =  ( x  e.  _V  |->  |^|
{ u  e. WUni  |  x  C_  u } )
Colors of variables: wff setvar class
This definition is referenced by:  wuncval  9120
  Copyright terms: Public domain W3C validator