OAI/Combinatorics/SumProduct/Alignment/AbelianMalcev01.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.TorusLeibman.polynomialOrbit line 26
  2. def OAI.TorusLeibman.characterPolynomial line 29
  3. theorem OAI.TorusLeibman.characterPolynomial_coeff line 32
  4. theorem OAI.TorusLeibman.characterPolynomial_degree line 36
  5. theorem OAI.TorusLeibman.phase_sum line 45
  6. theorem OAI.TorusLeibman.character_polynomialOrbit line 52
  7. theorem OAI.TorusLeibman.quantitative_torus_leibman line 69
  8. def OAI.AbelianMalcevTorus.torusProjection line 147
  9. lemma OAI.AbelianMalcevTorus.torusProjection_mul line 150
  10. lemma OAI.AbelianMalcevTorus.torusProjection_one line 155
  11. lemma OAI.AbelianMalcevTorus.torusProjection_eq_zero line 160
  12. lemma OAI.AbelianMalcevTorus.torusProjection_surjective line 172
  13. lemma OAI.AbelianMalcevTorus.continuous_torusProjection line 179
  14. def OAI.AbelianMalcevTorus.quotientTorus line 185
  15. lemma OAI.AbelianMalcevTorus.quotientTorus_mk line 191
  16. lemma OAI.AbelianMalcevTorus.quotientTorus_bijective line 194
  17. lemma OAI.AbelianMalcevTorus.quotient_compact line 212
  18. def OAI.AbelianMalcevTorus.quotientHomeomorph line 219
  19. lemma OAI.AbelianMalcevTorus.quotientHomeomorph_mk line 224
  20. lemma OAI.AbelianMalcevTorus.quotientHomeomorph_smul line 227
  21. theorem OAI.AbelianMalcevTorus.coordinateHaar_map line 251