OAI/Geometry/Symplectic/MorseBounds/ProductForm.lean

GitHub source file

19 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.MorseArnold.SymplecticProduct.TwoForm line 23
  2. def OAI.MorseArnold.SymplecticProduct.chartTwoForm line 25
  3. structure OAI.MorseArnold.SymplecticProduct.SymplecticForm line 31
  4. def OAI.MorseArnold.SymplecticProduct.prodForm line 41
  5. def OAI.MorseArnold.SymplecticProduct.ProductSymplecticExistence line 54
  6. def OAI.MorseArnold.SymplecticProduct.pullBilin line 83
  7. lemma OAI.MorseArnold.SymplecticProduct.pullBilin_apply line 89
  8. lemma OAI.MorseArnold.SymplecticProduct.chartTwoForm_apply line 93
  9. lemma OAI.MorseArnold.SymplecticProduct.prodForm_apply line 99
  10. lemma OAI.MorseArnold.SymplecticProduct.chart_prod_derivative line 103
  11. lemma OAI.MorseArnold.SymplecticProduct.chart_prod line 122
  12. lemma OAI.MorseArnold.SymplecticProduct.prod_alternating line 141
  13. lemma OAI.MorseArnold.SymplecticProduct.prod_nondegenerate line 149
  14. lemma OAI.MorseArnold.SymplecticProduct.chart_prod_eventually line 166
  15. lemma OAI.MorseArnold.SymplecticProduct.prod_chart_smooth line 179
  16. lemma OAI.MorseArnold.SymplecticProduct.prod_chart_deriv line 214
  17. lemma OAI.MorseArnold.SymplecticProduct.prod_closed line 234
  18. def OAI.MorseArnold.SymplecticProduct.symplecticProd line 252
  19. theorem OAI.MorseArnold.SymplecticProduct.productSymplecticExistence line 260