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Definition df-gt 49834
Description: The 'greater than' relation is merely the converse of the 'less than or equal to' relation defined by df-lt 11019. Defined in ISO 80000-2:2009(E) operation 2-7.12. See df-gte 49833 for a discussion on why this approach is used for the definition. See gt-lt 49836 and gt-lth 49838 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 49832 . 2 class >
2 clt 11146 . . 3 class <
32ccnv 5613 . 2 class <
41, 3wceq 1541 1 wff > = <
Colors of variables: wff setvar class
This definition is referenced by:  gt-lt  49836  gt-lth  49838
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