OAI/NumberTheory/Jacobsthal/Siegel/HilbertSeries.lean
30 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Erdos970.PowerSeries.coeff_mul_invOneSubPow_oneline 23 - theorem
OAI.Erdos970.PowerSeries.sum_coeff_mul_invOneSubPowline 28 - theorem
OAI.Erdos970.PowerSeries.sum_coeff_mul_invOneSubPow_eq_hilbertPoly_evalline 33 - theorem
OAI.Erdos970.PowerSeries.exists_reduced_mul_invOneSubPowline 40 - def
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.hilbertSeriesline 75 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.hilbertSeries_eq_add_X_mul_colonline 78 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.exists_hilbertSeries_numeratorline 92 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.exists_hilbertSeries_eq_mul_invOneSubPowline 128 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.existsUnique_hilbertPolynomialline 134 - def
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.hilbertPolynomialline 142 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.hilbertPolynomial_specline 146 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.hilbertPolynomial_eq_of_eventual_evalline 152 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.exists_component_cumulative_hilbertPolyline 159 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.exists_reduced_hilbertSeriesline 173 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.exists_cumulative_hilbertPolynomialline 182 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.leadingCoeff_pos_of_eventually_nat_eval_nonnegline 224 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.numerator_eval_one_is_integerline 246 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.exists_pos_integer_factorial_mul_leadingCoeff_hilbertPolynomialline 275 - def
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.projectiveDegreeline 327 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.projectiveDegree_castline 332 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.projectiveDegree_pos_iffline 346 - theorem
OAI.Erdos970.WeightedTorusJets.Geometry.GradedQuotient.projectiveDegree_eq_zero_iffline 357 - theorem
OAI.Erdos970.WeightedTorusJets.decompose_smul_of_homogeneous_rightline 379 - theorem
OAI.Erdos970.WeightedTorusJets.homogeneous_component_smul_memline 397 - theorem
OAI.Erdos970.WeightedTorusJets.exists_homogeneous_annihilator_of_annihilatorline 408 - theorem
OAI.Erdos970.WeightedTorusJets.exists_homogeneous_annihilator_of_rank_zeroline 422 - theorem
OAI.Erdos970.WeightedTorusJets.decompose_smul_mem_of_homogeneousline 439 - theorem
OAI.Erdos970.WeightedTorusJets.homogeneous_submodule_spanline 460 - theorem
OAI.Erdos970.WeightedTorusJets.homogeneous_coefficients_sum_memline 477 - theorem
OAI.Erdos970.WeightedTorusJets.exists_homogeneous_coefficientsline 492