OAI/GroupTheory/PolycyclicRecognition/Algebra/FilteredPolynomialPerturbation.lean

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Polynomial annihilators under a filtration-raising perturbation

If D preserves a finite descending filtration and N raises its level, then a polynomial annihilating D, evaluated at D + N, raises its level. Consequently a power of that polynomial annihilates D + N.

  1. theorem OAI.PolycyclicRecognition.filtered_sum_maps line 28
  2. theorem OAI.PolycyclicRecognition.filtered_sum_pow_maps line 31
  3. theorem OAI.PolycyclicRecognition.filtered_pow_difference line 39
  4. theorem OAI.PolycyclicRecognition.filtered_polynomial_difference line 54
  5. theorem OAI.PolycyclicRecognition.filtered_polynomial_annihilator line 69