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Normal (commutative) submonoids and saturated congruence relations #543

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merged 6 commits into from Mar 26, 2023

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EgbertRijke
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This PR develops some theory of monoids and commutative monoids

  • Submonoids
  • Normal Submonoids
  • Saturated congruence relations, and proof that they correspond uniquely to normal submonoids
  • Submonoids of commutative monoids
  • Normal submonoids of commutative monoids
  • Saturated congruence relations, and proof that they correspond uniquely to norma submonoids of commutative monoids
  • The example of the natural numbers with max, and a proof that its normal submonoids are initial segments of the natural numbers.

@EgbertRijke
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Thanks for the review. I resolved all the comments.

@fredrik-bakke
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Excellent, then I'll merge the PR!

@fredrik-bakke fredrik-bakke merged commit e02eede into UniMath:master Mar 26, 2023
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2 participants