MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-sdom Structured version   Visualization version   GIF version

Definition df-sdom 7918
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 7938 and brsdom2 8044. Definition 3 of [Suppes] p. 97. (Contributed by NM, 31-Mar-1998.)
Assertion
Ref Expression
df-sdom ≺ = ( ≼ ∖ ≈ )

Detailed syntax breakdown of Definition df-sdom
StepHypRef Expression
1 csdm 7914 . 2 class
2 cdom 7913 . . 3 class
3 cen 7912 . . 3 class
42, 3cdif 3557 . 2 class ( ≼ ∖ ≈ )
51, 4wceq 1480 1 wff ≺ = ( ≼ ∖ ≈ )
Colors of variables: wff setvar class
This definition is referenced by:  relsdom  7922  brsdom  7938  dfdom2  7941  dfsdom2  8043
  Copyright terms: Public domain W3C validator