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2 Posets (partially ordered sets)
 2.1 Operations
 2.2 Add-methods
 2.3 Properties

2 Posets (partially ordered sets)

2.1 Operations

2.1-1 IsEqualForObjectsIfIsHomSetInhabited
‣ IsEqualForObjectsIfIsHomSetInhabited( A, B )( operation )

Returns: true or false

Check if A is equal to B under the assumption that there exists a morphism from A to B, i.e., if A is known to be less or equal to B w.r.t. the partial order.

2.2 Add-methods

2.2-1 AddIsEqualForObjectsIfIsHomSetInhabited
‣ AddIsEqualForObjectsIfIsHomSetInhabited( C, F )( operation )

Returns: nothing

The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation IsEqualForObjectsIfIsHomSetInhabited. \(F: ( arg2, arg3 ) \mapsto \mathtt{IsEqualForObjectsIfIsHomSetInhabited}(arg2, arg3)\).

Posets are skeletal, thin categories.

2.3 Properties

2.3-1 IsPosetCategory
‣ IsPosetCategory( C )( property )

Returns: true or false

The property of C being a poset (category).

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