mathlib documentation

order.​category.​LinearOrder

order.​category.​LinearOrder

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LinearOrder
LinearOrder.​category_theory.​bundled_hom.​parent_projection
LinearOrder.​inhabited
LinearOrder.​linear_order
LinearOrder.​of

Category of linearly ordered types

source
def LinearOrder  :
Type (u_1+1)

The category of linearly ordered types.

Equations
source
@[instance]
def LinearOrder.​category_theory.​bundled_hom.​parent_projection  :
category_theory.bundled_hom.parent_projection linear_order.to_partial_order

Equations
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def LinearOrder.​of (α : Type u_1) [linear_order α] :
LinearOrder

Construct a bundled LinearOrder from the underlying type and typeclass.

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@[instance]
def LinearOrder.​inhabited  :
inhabited LinearOrder

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source
@[instance]
def LinearOrder.​linear_order (α : LinearOrder) :
linear_order ↥α

Equations

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