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Definition df-gt 28466
Description: The 'greater than' relation is merely the converse of the 'less than or equal to' relation defined by df-lt 9003. Defined in ISO 80000-2:2009(E) operation 2-7.12. See df-gte 28465 for a discussion on why this approach is used for the definition. See gt-lt 28468 and gt-lth 28470 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 28464 . 2  class  >
2 clt 9120 . . 3  class  <
32ccnv 4877 . 2  class  `'  <
41, 3wceq 1652 1  wff  >  =  `'  <
Colors of variables: wff set class
This definition is referenced by:  gt-lt  28468  gt-lth  28470
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