### Abstract

These theories introduce basic concepts and proofs about discrete summation: shifts, formal summation, falling factorials and stirling numbers. As proof of concept, a simple summation conversion is provided.

### License

BSD License

### Topics

- Mathematics/Combinatorics

### Session Discrete_Summation

- Factorials
- Discrete_Summation
- Summation_Conversion
- Examples

### Used by

- Distributed Distinct Elements
- The Falling Factorial of a Sum
- Cardinality of Set Partitions

## Cite

×

Discrete_Summation-AFP

    @article{Discrete_Summation-AFP,
      author  = {Florian Haftmann},
      title   = {Discrete Summation},
      journal = {Archive of Formal Proofs},
      month   = {April},
      year    = {2014},
      note    = {\url{https://isa-afp.org/entries/Discrete_Summation.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

Download

## Download

× Download latest

Older releases:

- Sep 13, 2023 : Isabelle2023
- Oct 27, 2022 : Isabelle2022
- Dec 14, 2021 : Isabelle2021-1
- Feb 23, 2021 : Isabelle2021
- Apr 18, 2020 : Isabelle2020
- Jun 11, 2019 : Isabelle2019
- Aug 16, 2018 : Isabelle2018
- Oct 10, 2017 : Isabelle2017
- Dec 17, 2016 : Isabelle2016-1
- Feb 22, 2016 : Isabelle2016
- May 27, 2015 : Isabelle2015
- Aug 28, 2014 : Isabelle2014
- Apr 13, 2014 : Isabelle2013-2