mathlib documentation

order.​category.​PartialOrder

order.​category.​PartialOrder

source
PartialOrder
PartialOrder.​category_theory.​bundled_hom.​parent_projection
PartialOrder.​inhabited
PartialOrder.​of
PartialOrder.​partial_order

Category of partially ordered types

source
def PartialOrder  :
Type (u_1+1)

The category of partially ordered types.

Equations
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@[instance]
def PartialOrder.​category_theory.​bundled_hom.​parent_projection  :
category_theory.bundled_hom.parent_projection partial_order.to_preorder

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def PartialOrder.​of (α : Type u_1) [partial_order α] :
PartialOrder

Construct a bundled PartialOrder from the underlying type and typeclass.

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

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@[instance]
def PartialOrder.​partial_order (α : PartialOrder) :
partial_order ↥α

Equations

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