Python-chess
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python-chess is a pure Python chess library with move generation, move validation and support for common formats. It is open sourced at https://github.com/niklasf/python-chess
Based on a request for more detailed documentation this page gives some more details.
Documentation
Glossary
FEN Forsyth–Edwards Notation
The Forsyth–Edwards Notation describes a board position.
Examples:
Given a FEN you can continue playing from that position. E.g given 8/5k2/8/5K1P/8/8/8/8
a game might continue as: