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Structures · Lean core

Std.IsLinearPreorder

This typeclass states that the order structure on α, represented by an LE α instance, is a linear preorder. In other words, the less-or-equal relation is reflexive, transitive and total.

Defined in
Init.Data.Order.Classes
Shape
One type argument · adds le_total

Extends1

Extended by2

Concrete types that are instances3

  • Dyadic
  • Lean.Grind.IntModule.OfNatModule.Q
  • Subtype

How is a type an instance?

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Assumed by0

No theorem or definition in Mathlib takes this class as a hypothesis.

Ancestors1