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Descent and induction principle of identity types of coequalizers #1140

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This PR adds the following constructions and proofs around coequalizers:

  • descent data, morphisms and equivalences
  • descent property of coequalizers
  • characterizations of various type families over coequalizers
  • variant of the flattening lemma using descent data
  • induction principle of identity types of coequalizers

The formalization itself is finished, but I still need to finish writing the prose in order for the PR to be mergeable

@VojtechStep VojtechStep force-pushed the feature/coequalizers branch from 4173fd5 to 2598dbb Compare May 19, 2024 15:57
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