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Definition df-gt 50349
Description: The 'greater than' relation is merely the converse of the 'less than or equal to' relation defined by df-lt 11088. Defined in ISO 80000-2:2009(E) operation 2-7.12. See df-gte 50348 for a discussion on why this approach is used for the definition. See gt-lt 50351 and gt-lth 50353 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 50347 . 2 class >
2 clt 11218 . . 3 class <
32ccnv 5648 . 2 class <
41, 3wceq 1562 1 wff > = <
Colors of variables: wff setvar class
This definition is referenced by:  gt-lt  50351  gt-lth  50353
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