Main results
The main results that the formalization.yaml of FormalFrontier/polynomial-root-stability lists under status.main_results at commit efade497, each that the scan finds declared in the file the yaml gives, with its line. They are listed here, not made articles: in several Formal Frontier libraries this list is close to the whole API. The notes are the yaml's.
| Declaration | Kind | Where | Note |
|---|---|---|---|
IsKrasner.exists_pos_adjoin_rootSet_eq_of_monic_separable |
theorem | PolynomialRootStability/Krasner.lean, line 565 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
IsKrasner.exists_pos_adjoin_rootSet_eq_of_separable_normalized |
theorem | PolynomialRootStability/Normalization.lean, line 45 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
IsKrasner.exists_pos_adjoin_rootSet_eq_of_separable |
theorem | PolynomialRootStability/Normalization.lean, line 214 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Valuation.map_eval_sub_eq_of_mul_map_sub_lt_map_derivative |
theorem | PolynomialRootStability/Valuation.lean, line 163 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Valuation.map_derivative_eval_eq_of_mul_map_sub_lt_map_derivative |
theorem | PolynomialRootStability/Valuation.lean, line 209 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Valuation.map_eval_sub_eval_eq_of_mul_map_sub_lt_map_derivative |
theorem | PolynomialRootStability/Valuation.lean, line 220 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Valuation.injOn_eval_of_mul_map_sub_lt_map_derivative |
theorem | PolynomialRootStability/Valuation.lean, line 245 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Polynomial.exists_root_tendsto_iterate_newtonMap |
theorem | PolynomialRootStability/Newton.lean, line 261 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Polynomial.exists_factorization_of_supNorm_lt_resultant_sq |
theorem | PolynomialRootStability/ResultantFactorization.lean, line 214 | Sorry count 0. Axioms: propext, Classical.choice, Quot.sound. |
Quoted from the main results in formalization.yaml of FormalFrontier/polynomial-root-stability at commit efade497, Apache-2.0.
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