### Abstract

These mathematical components formalise basic properties of quantales, together with some important models, constructions, and concepts, including quantic nuclei and conuclei.

### License

BSD License

### Topics

- Mathematics/Algebra

### Session Quantales

- Dioid_Models_New
- Quantales
- Quantale_Star
- Quantale_Modules
- Quantale_Models
- Quantic_Nuclei_Conuclei
- Quantale_Left_Sided

### Depends on

- Kleene Algebra
- Properties of Orderings and Lattices

### Used by

- Catoids, Categories, Groupoids
- Modal quantales, involutive quantales, Dedekind Quantales
- Transformer Semantics

## Cite

×

Quantales-AFP

    @article{Quantales-AFP,
      author  = {Georg Struth},
      title   = {Quantales},
      journal = {Archive of Formal Proofs},
      month   = {December},
      year    = {2018},
      note    = {\url{https://isa-afp.org/entries/Quantales.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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## Download

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Older releases:

- Sep 13, 2023 : Isabelle2023
- Oct 27, 2022 : Isabelle2022
- Dec 14, 2021 : Isabelle2021-1
- Feb 23, 2021 : Isabelle2021
- Apr 20, 2020 : Isabelle2020
- Jun 11, 2019 : Isabelle2019
- Dec 19, 2018 : Isabelle2018