OpenMath Content Dictionary: setoid

Canonical URL:
http://www.openmath.org/cd/setoid.ocd
CD Base:
http://www.openmath.org/cd
CD File:
setoid.ocd
CD as XML Encoded OpenMath:
setoid.omcd
Defines:
Setoid, make_Setoid
Date:
2004-03-30
Version:
2 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
            

The definition of a setoid as a set with an equivalence relations defined on its elements. Initial version: O. Caprotti


Setoid

Role:
application
Description:

The contructor for the type of set with an equivalence relation on it.

Commented Mathematical property (CMP):
Is defined as Lambda {Carrier:> symtype; Eq: (relation Carrier)}. SigmaType{ Carrier:> symtype; Eq: (relation Carrier); (equivalence Carrier Eq) }
Example:
Signatures:
sts


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make_Setoid

Role:
application
Description:

The contructor for the tuples consisting of a set, an equivalence relation on the set, and a proof that the relation is actually an equivalence relation.

Commented Mathematical property (CMP):
Is defined as Lambda {Carrier:> symtype; Eq: (relation Carrier) proof: (equivalence Carrier Eq)}. Tuple (Carrier, Eq, proof)
Example:
Signatures:
sts


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