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Definition df-gt 42263
Description: The 'greater than' relation is merely the converse of the 'less than or equal to' relation defined by df-lt 9828. Defined in ISO 80000-2:2009(E) operation 2-7.12. See df-gte 42262 for a discussion on why this approach is used for the definition. See gt-lt 42265 and gt-lth 42267 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 42261 . 2 class >
2 clt 9953 . . 3 class <
32ccnv 5037 . 2 class <
41, 3wceq 1475 1 wff > = <
Colors of variables: wff setvar class
This definition is referenced by:  gt-lt  42265  gt-lth  42267
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