Users' Mathboxes Mathbox for David A. Wheeler < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-gt Structured version   Visualization version   GIF version

Definition df-gt 50214
Description: The 'greater than' relation is merely the converse of the 'less than or equal to' relation defined by df-lt 11046. Defined in ISO 80000-2:2009(E) operation 2-7.12. See df-gte 50213 for a discussion on why this approach is used for the definition. See gt-lt 50216 and gt-lth 50218 for more conventional expression of the relationship between < and >.

As a stylistic issue, set.mm prefers 'less than or equal' instead of 'greater than or equal' to reduce the number of conversion steps. Thus, we discourage its use, but include its definition so that there is a formal definition of this symbol.

(Contributed by David A. Wheeler, 19-Apr-2015.) (New usage is discouraged.)

Assertion
Ref Expression
df-gt > = <

Detailed syntax breakdown of Definition df-gt
StepHypRef Expression
1 cgt 50212 . 2 class >
2 clt 11174 . . 3 class <
32ccnv 5625 . 2 class <
41, 3wceq 1542 1 wff > = <
Colors of variables: wff setvar class
This definition is referenced by:  gt-lt  50216  gt-lth  50218
  Copyright terms: Public domain W3C validator