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Definition df-gt 28447
Description: The 'greater than' relation is merely the converse of the 'less than or equal to' relation defined by df-lt 8766. Defined in ISO 80000-2:2009(E) operation 2-7.12. See df-gte 28446 for a discussion on why this approach is used for the definition. See gt-lt 28449 and gt-lth 28451 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 28445 . 2  class  >
2 clt 8883 . . 3  class  <
32ccnv 4704 . 2  class  `'  <
41, 3wceq 1632 1  wff  >  =  `'  <
Colors of variables: wff set class
This definition is referenced by:  gt-lt  28449  gt-lth  28451
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