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the statement of this result is ready to be formalized; all prerequisites are done
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the statement of this result is not ready to be formalized; the blueprint needs more work
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the proof of this result is ready to be formalized; all prerequisites are done
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the statement of this result is formalized
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the proof of this result is formalized
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the proof of this result and all its ancestors are formalized
Elliptic_curve_n_torsion_2d Elliptic_curve_n_torsion_2d Elliptic_curve_det_n_torsion Elliptic_curve_det_n_torsion Elliptic_curve_n_torsion_2d->Elliptic_curve_det_n_torsion Frey_curve_irreducible Frey_curve_irreducible Elliptic_curve_n_torsion_2d->Frey_curve_irreducible frey_curve_hardly_ramified frey_curve_hardly_ramified Elliptic_curve_det_n_torsion->frey_curve_hardly_ramified good_reduction_implies_unramified good_reduction_implies_unramified Frey_curve_good Frey_curve_good good_reduction_implies_unramified->Frey_curve_good frey_curve_unramified frey_curve_unramified Frey_curve_good->frey_curve_unramified frey_curve_unramified->frey_curve_hardly_ramified Frey_characters_are_unramified Frey_characters_are_unramified frey_curve_unramified->Frey_characters_are_unramified Frey_characters_trivial Frey_characters_trivial Frey_characters_are_unramified->Frey_characters_trivial Frey_curve_reducible_structure Frey_curve_reducible_structure Frey_characters_trivial->Frey_curve_reducible_structure EllipticCurve.GoodReduction EllipticCurve.GoodReduction Frey_curve_good_reduction Frey_curve_good_reduction EllipticCurve.GoodReduction->Frey_curve_good_reduction Frey_curve_good_reduction->Frey_curve_good group_theory_lemma group_theory_lemma group_theory_lemma->Elliptic_curve_n_torsion_2d finite_flat_group_scheme finite_flat_group_scheme good_reduction_implies_flat good_reduction_implies_flat finite_flat_group_scheme->good_reduction_implies_flat Frey_curve_mod_ell_rep_at_ell Frey_curve_mod_ell_rep_at_ell good_reduction_implies_flat->Frey_curve_mod_ell_rep_at_ell Frey_curve_mod_ell_rep_at_ell->frey_curve_hardly_ramified Frey_characters_at_ell Frey_characters_at_ell Frey_curve_mod_ell_rep_at_ell->Frey_characters_at_ell Frey_characters_at_ell->Frey_characters_trivial Frey_curve_mult_reduction Frey_curve_mult_reduction Frey_curve_mult_reduction_at_two Frey_curve_mult_reduction_at_two WeierstrassCurve.n_torsion_card WeierstrassCurve.n_torsion_card WeierstrassCurve.n_torsion_card->Elliptic_curve_n_torsion_2d Frey_curve_no_trivial_quotient Frey_curve_no_trivial_quotient Frey_curve_no_trivial_quotient->Frey_curve_irreducible Frey_curve_reducible_structure->Frey_curve_irreducible Elliptic_curve_quotient_by_finite_subgroup Elliptic_curve_quotient_by_finite_subgroup Elliptic_curve_quotient_by_finite_subgroup->Frey_curve_no_trivial_quotient multiplicative_reduction_torsion multiplicative_reduction_torsion multiplicative_reduction_torsion->Frey_curve_mod_ell_rep_at_ell Frey_curve_unram Frey_curve_unram multiplicative_reduction_torsion->Frey_curve_unram frey_curve_at_2 frey_curve_at_2 multiplicative_reduction_torsion->frey_curve_at_2 Frey_curve_unram->frey_curve_unramified frey_curve_at_2->frey_curve_hardly_ramified frey_curve_at_2->Frey_characters_are_unramified Frey_curve_no_trivial_submodule Frey_curve_no_trivial_submodule Frey_curve_no_trivial_submodule->Frey_curve_irreducible Tate_curve_uniformisation Tate_curve_uniformisation Tate_curve_uniformisation->multiplicative_reduction_torsion mazur mazur mazur->Frey_curve_no_trivial_quotient mazur->Frey_curve_no_trivial_submodule EllipticCurve.MultiplicativeReduction EllipticCurve.MultiplicativeReduction EllipticCurve.MultiplicativeReduction->Frey_curve_mult_reduction EllipticCurve.MultiplicativeReduction->Frey_curve_mult_reduction_at_two EllipticCurve.MultiplicativeReduction->Tate_curve_uniformisation hardly_ramified hardly_ramified hardly_ramified->frey_curve_hardly_ramified Frey_curve_trivial_submodule Frey_curve_trivial_submodule Frey_curve_trivial_submodule->Frey_curve_no_trivial_submodule FLT.FreyPackage.FreyCurve.j_valuation_of_bad_prime FLT.FreyPackage.FreyCurve.j_valuation_of_bad_prime FLT.FreyPackage.FreyCurve.j_valuation_of_bad_prime->Frey_curve_unram Frey_curve_j Frey_curve_j Frey_curve_j->FLT.FreyPackage.FreyCurve.j_valuation_of_bad_prime