The HOL Light Theory of Euclidean Space

@article{Harrison2012TheHL,
  title={The HOL Light Theory of Euclidean Space},
  author={John Harrison},
  journal={Journal of Automated Reasoning},
  year={2012},
  volume={50},
  pages={173-190}
}
We describe the library of theorems about N-dimensional Euclidean space that has been formalized in the HOL Light prover. This formalization was started in 2005 and has been extensively developed since then, partly in direct support of the Flyspeck project, partly out of a general desire to develop a well-rounded and comprehensive theory of basic analytical, geometrical and topological machinery. The library includes various ‘big name’ theorems (Brouwer’s fixed point theorem, the Stone… CONTINUE READING
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