Users' Mathboxes Mathbox for Scott Fenton < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-sset Structured version   Visualization version   GIF version

Definition df-sset 33335
Description: Define the subset class. For the value, see brsset 33368. (Contributed by Scott Fenton, 31-Mar-2012.)
Assertion
Ref Expression
df-sset SSet = ((V × V) ∖ ran ( E ⊗ (V ∖ E )))

Detailed syntax breakdown of Definition df-sset
StepHypRef Expression
1 csset 33311 . 2 class SSet
2 cvv 3479 . . . 4 class V
32, 2cxp 5534 . . 3 class (V × V)
4 cep 5445 . . . . 5 class E
52, 4cdif 3915 . . . . 5 class (V ∖ E )
64, 5ctxp 33309 . . . 4 class ( E ⊗ (V ∖ E ))
76crn 5537 . . 3 class ran ( E ⊗ (V ∖ E ))
83, 7cdif 3915 . 2 class ((V × V) ∖ ran ( E ⊗ (V ∖ E )))
91, 8wceq 1538 1 wff SSet = ((V × V) ∖ ran ( E ⊗ (V ∖ E )))
Colors of variables: wff setvar class
This definition is referenced by:  relsset  33367  brsset  33368
  Copyright terms: Public domain W3C validator