toAddTorsor ๐ | CompOp | 657 mathmath: Affine.Simplex.isTangentAt_insphere_iff_eq_touchpoint, AffineIsometryEquiv.coe_constVSub, closure_diff_intrinsicFrontier, Affine.Triangle.equilateral_iff_dist_01_eq_02_and_dist_01_eq_12, AffineIsometryEquiv.pointReflection_apply, EuclideanGeometry.dist_smul_vadd_sq, AffineIsometry.image_intrinsicClosure, MonotoneOn.intervalIntegral_slope_le, Affine.Simplex.orthogonalProjectionSpan_map, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, ConvexOn.le_slope_of_hasDerivAt, Isometry.preimage_perpBisector, smooth_barycentric_coord, StrictConvexOn.slope_lt_leftDeriv, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_face, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, dist_midpoint_right, inner_vsub_right_eq_zero_symm, Affine.Simplex.sSameSide_excenter_singleton_point, ConvexOn.rightDeriv_le_slope_of_mem_interior, AffineIsometryEquiv.coe_symm_toAffineEquiv, Affine.Simplex.neg_mul_lt_inner_vsub_altitudeFoot, ContinuousAffineMap.fderiv, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_midpoint_eq_center, ContinuousAffineMap.differentiableWithinAt, curveIntegrable_segment, Affine.Simplex.finiteDimensional_direction_altitude, AffineSubspace.mem_perpBisector_iff_inner_eq_zero', Affine.Simplex.circumcenter_map, EuclideanGeometry.Sphere.wbtw_secondInter, Affine.Simplex.inv_height_eq_sum_mul_inv_dist, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_faceOpposite, EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne, StrictConvexOn.deriv_lt_slope, AffineSpace.cobounded_eq_iSup_sphere_asymptoticNhds, Affine.Simplex.circumcenter_mem_affineSpan, Affine.Simplex.affineSpan_pair_altitudeFoot_eq_altitude, Affine.Simplex.excenter_singleton_mem_affineSpan_range, AffineIsometryEquiv.linear_eq_linear_isometry, not_bounded_iff_exists_ne_zero_mem_asymptoticCone, IsOpen.exists_subset_affineIndependent_span_eq_top, EuclideanGeometry.orthogonalProjection_congr, Affine.Simplex.dist_point_faceOppositeCentroid, DilationEquiv.smulTorsor_symm_apply, StrictConcaveOn.lt_slope_of_hasDerivAt, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_right, Affine.Simplex.incenter_map, dist_left_midpoint, AffineSubspace.left_mem_perpBisector, EuclideanGeometry.preimage_inversion_perpBisector_inversion, Affine.Triangle.sSameSide_affineSpan_pair_point_incenter, StrictConcaveOn.slope_lt_rightDeriv, StrictConvexOn.rightDeriv_lt_slope, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_bounded_under, Affine.Triangle.sbtw_touchpoint_singleton, Affine.Triangle.dist_point_faceOppositeCentroid, Affine.Simplex.mem_circumsphere, EuclideanGeometry.orthogonalProjection_contLinear, ContinuousAffineMap.differentiable, EuclideanGeometry.Sphere.mem_commonExtTangents_iff, lintegral_fderiv_lineMap_eq_edist, EuclideanGeometry.oangle_sign_eq_zero_iff_collinear, AddCircle.isAddFundamentalDomain_of_ae_ball, EuclideanGeometry.reflection_map, AffineEquiv.continuous_of_finiteDimensional, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Affine.Simplex.ExcenterExists.affineCombination_eq_excenter_iff, nndist_midpoint_right, EuclideanGeometry.Sphere.mem_tangentsFrom_iff, AffineIsometryEquiv.coe_constVAdd, StrictConcaveOn.slope_lt_derivWithin, EuclideanGeometry.Sphere.mem_commonTangents_iff, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, exists_dist_slope_lt_pairwiseDisjoint_hasSum, Affine.Simplex.excenterWeightsUnnorm_reindex, IsometryEquiv.midpoint_fixed, AffineIsometryEquiv.pointReflection_midpoint_left, interior_convexHull_nonempty_iff_affineSpan_eq_top, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff', ConcaveOn.slope_le_of_hasDerivAt, Affine.Simplex.ExcenterExists.touchpoint_map, EuclideanGeometry.angle_eq_iff_oangle_eq_or_wbtw, curveIntegralFun_segment, signedDist_triangle, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, Affine.Simplex.orthogonalProjectionSpan_eq_point, IsometryEquiv.constVSub_symm_apply, EuclideanGeometry.angle_vadd_const, nndist_right_lineMap, signedDist_linear_apply_apply, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_pointReflection_center_right, Affine.Simplex.sSameSide_incenter_point, EuclideanGeometry.collinear_iff_of_two_zsmul_oangle_eq, EuclideanGeometry.oangle_midpoint_right, Affine.Simplex.ExcenterExists.excenter_map, StrictConvexOn.lt_slope_of_hasDerivAt, EuclideanGeometry.orthogonalProjection_map, Affine.Simplex.ExcenterExists.touchpoint_notMem_affineSpan_of_ne, EuclideanGeometry.Sphere.isTangentAt_of_dist_sq_eq_power, Affine.Simplex.abs_inner_vsub_altitudeFoot_div_lt_one, nndist_left_lineMap, EuclideanGeometry.angle_eq_zero_iff_eq_and_ne_or_sbtw, Affine.Simplex.touchpoint_singleton_mem_interior_faceOpposite, Affine.Simplex.excenterExists_reindex, EuclideanGeometry.Sphere.secondInter_collinear, Affine.Simplex.ninePointCircle_eq_circumsphere_medial, StrictConcaveOn.deriv_lt_slope, ContinuousAffineMap.norm_def, signedDist_le_dist, AffineSubspace.coe_subtypeโแตข, EuclideanGeometry.Sphere.IsTangentAt.mem_space, Affine.Simplex.circumcenter_reindex, EuclideanGeometry.affineSpan_of_orthocentricSystem, AffineSubspace.mem_perpBisector_iff_inner_eq_zero, AffineBasis.interior_convexHull, EuclideanGeometry.inversion_vsub_center, StrictConcaveOn.slope_lt_deriv, ConvexOn.slope_le_deriv, Affine.Simplex.excenter_eq_affineCombination, Affine.Triangle.dist_div_sin_angle_eq_two_mul_circumradius, EuclideanGeometry.Sphere.commonIntTangents_union_commonExtTangents, nndist_vadd_cancel_right, dist_left_pointReflection, AffineSubspace.perpBisector_nonempty, signedDist_apply_apply, Affine.Simplex.altitudeFoot_mem_affineSpan_image_compl, Affine.Simplex.scalene_reindex_iff, AffineIsometryEquiv.pointReflection_toAffineEquiv, Affine.Simplex.finrank_direction_altitude, EuclideanGeometry.angle_vsub_const, EuclideanGeometry.Sphere.IsDiameter.wbtw, Affine.Simplex.mongePoint_mem_mongePlane, Affine.Simplex.isTangentAt_insphere_touchpoint, Affine.Simplex.excenterWeightsUnnorm_map, EuclideanGeometry.Sphere.IsExtTangentAt.wbtw, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, Affine.Simplex.ExcenterExists.affineSpan_faceOpposite_eq_orthRadius, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, Complex.differentiableOn_update_limUnder_of_isLittleO, AffineIsometryEquiv.map_vsub, dist_left_midpoint_eq_dist_right_midpoint, StrictConvexOn.slope_lt_deriv, EuclideanGeometry.oangle_eq_pi_iff_sbtw, AffineIsometryEquiv.toContinuousAffineEquiv_symm, Affine.Simplex.circumcenter_eq_affineCombination_of_pointsWithCircumcenter, dist_vsub_cancel_left, Complex.differentiableOn_update_limUnder_of_bddAbove, Affine.Simplex.equilateral_reindex_iff, Affine.Simplex.affineSpan_faceOpposite_eq_orthRadius_insphere, EuclideanGeometry.Sphere.orthRadius_center, EuclideanGeometry.orthogonalProjection_apply', EuclideanGeometry.Sphere.coe_secondInter, EuclideanGeometry.oangle_midpoint_rev_left, Affine.Triangle.touchpoint_singleton_sbtw, curveIntegral_segment, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Affine.Simplex.exradius_map, Affine.Triangle.dist_circumcenter_reflection_orthocenter, dist_vadd_cancel_right, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, isAddFundamentalDomain_Ioc, Affine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul, AffineIsometry.toContinuousAffineMap_id, Set.Nonempty.intrinsicInterior, Affine.Simplex.excenterWeights_reindex, EuclideanGeometry.collinear_of_angle_eq_zero, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, dist_affineCombination_lt_of_strictConvexSpace, dist_lineMap_left, Affine.Simplex.ExcenterExists.isTangentAt_touchpoint, Affine.Simplex.inradius_reindex, EuclideanGeometry.preimage_inversion_perpBisector, Affine.Simplex.incenter_mem_interior, Affine.Simplex.mongePoint_eq_affineCombination_of_pointsWithCircumcenter, Affine.Simplex.altitudeFoot_map, dist_midpoint_midpoint_le, Convex.interior_nonempty_iff_affineSpan_eq_top, Isometry.mapsTo_perpBisector, EuclideanGeometry.Cospherical.affineIndependent_of_ne, Affine.Simplex.circumcenter_eq_point, AffineIsometry.linear_eq_linearIsometry, AffineIsometryEquiv.coe_ofEq_apply, AffineIsometryEquiv.vaddConst_toAffineEquiv, EuclideanGeometry.oangle_eq_zero_iff_wbtw, AffineSubspace.isometryEquivMap.toAffineMap_eq, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, Affine.Simplex.signedInfDist_apply_self, nndist_vadd_left, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_left, exists_mem_interior_convexHull_affineBasis, AffineIsometry.image_intrinsicInterior, dist_right_midpoint, signedDist_zero, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, dist_center_homothety, AffineIsometryEquiv.toContinuousAffineEquiv_refl, Affine.Simplex.ExcenterExists.sOppSide_excenter_point_iff, Affine.Simplex.incenter_notMem_affineSpan_face, Affine.Triangle.affineSpan_pair_eq_orthRadius, uniformContinuous_vsub, EuclideanGeometry.image_inversion_perpBisector, Affine.Simplex.mongePlane_def, Affine.Triangle.acuteAngled_iff_angle_lt, dist_eq_norm_vsub', AffineIsometryEquiv.ofEq_symm, signedDist_triangle_left, Affine.Simplex.excenterExists_map, isBounded_iff_asymptoticCone_subset_singleton, Affine.Simplex.vectorSpan_isOrtho_altitude_direction, Affine.Simplex.exsphere_reindex, ContinuousAffineMap.norm_contLinear_le, EuclideanGeometry.reflection_eq_self_iff, Affine.Simplex.altitudeFoot_mem_affineSpan, AffineIsometry.coe_toAffineMap, IsometryEquiv.map_midpoint, EuclideanGeometry.inner_pos_or_eq_of_dist_le_radius, MonotoneOn.intervalIntegrable_slope, nndist_left_midpoint, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, ContinuousAffineMap.hasStrictFDerivAt, ConvexOn.slope_le_leftDeriv, EuclideanGeometry.image_inversion_sphere_dist_center, EuclideanGeometry.orthogonalProjection_subtype, EuclideanGeometry.Sphere.sbtw_secondInter, dist_right_pointReflection, Affine.Triangle.sOppSide_affineSpan_pair_excenter_singleton_point, AffineSubspace.closed_of_finiteDimensional, Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, AffineSubspace.isPreconnected_setOf_wOppSide, AffineSubspace.toContinuousAffineMap_subtypeโแตข, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, EuclideanGeometry.oangle_midpoint_left, ContinuousAffineMap.contDiff, Affine.Simplex.circumsphere_unique_dist_eq, dist_lineMap_right, EuclideanGeometry.preimage_inversion_sphere_dist_center, MeasureTheory.hausdorffMeasure_lineMap_image, AffineMap.lipschitzWith_of_finiteDimensional, Affine.Triangle.dist_orthocenter_reflection_circumcenter, StrictConcaveOn.slope_lt_of_hasDerivAt, isOpen_setOf_affineIndependent, signedDist_smul_of_pos, Affine.Simplex.exradius_reindex, Affine.Simplex.ninePointCircle_reindex, nndist_midpoint_left, AffineIsometryEquiv.coe_vaddConst, signedDist_lineMap_lineMap, Affine.Triangle.dist_div_sin_oangle_eq_two_mul_circumradius, signedDist_vadd_left_swap, nndist_midpoint_midpoint_le', EuclideanGeometry.OrthocentricSystem.affineIndependent, Affine.Simplex.touchpointWeights_reindex, dist_homothety_self, Affine.Simplex.height_map, Affine.Simplex.orthogonalProjection_circumcenter, AffineIsometry.map_vsub, nndist_center_homothety, LipschitzWith.vadd, DilationEquiv.smulTorsor_apply, signedDist_vadd_right, Complex.isAddQuotientCoveringMap_exp, dist_self_homothety, nndist_vsub_vsub_le, ZSpan.isAddFundamentalDomain', Affine.Simplex.touchpoint_mem_affineSpan, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, EuclideanGeometry.oangle_eq_zero_or_eq_pi_iff_collinear, inner_vsub_vsub_right_eq_dist_sq_left_iff, Affine.Simplex.direction_mongePlane, Affine.Simplex.dist_point_centroid, Affine.Simplex.altitudeFoot_reindex, Affine.Simplex.affineCombination_eq_touchpoint_iff, dist_vsub_cancel_right, StrictConcaveOn.derivWithin_lt_slope, Affine.Simplex.altitudeFoot_mem_altitude, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, StrictConvexOn.slope_lt_derivWithin, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_affineIndependent, Affine.Triangle.affineSpan_orthocenter_point_le_altitude, ConvexOn.slope_le_of_hasDerivWithinAt, dist_vadd_left, nndist_lineMap_right, EuclideanGeometry.Cospherical.affineIndependent, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, EuclideanGeometry.Sphere.IsTangentAt_of_angle_eq_pi_div_two, signedDist_lineMap_left, AffineIsometry.norm_map, AffineSubspace.isometryEquivMap.coe_apply, ConcaveOn.le_slope_of_hasDerivWithinAt, Affine.Simplex.sOppSide_excenter_singleton_point, EuclideanGeometry.oangle_homothety, Affine.Simplex.ExcenterExists.sOppSide_point_excenter_iff, signedDist_anticomm, Affine.Simplex.dist_circumcenter_eq_circumradius, instIsTopologicalAddTorsor_1, ZSpan.exist_unique_vadd_mem_fundamentalDomain, MeasureTheory.hausdorffMeasure_homothety_image, eq_lineMap_of_dist_eq_mul_of_dist_eq_mul, dist_vadd_right, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, dist_add_dist_eq_iff, EuclideanGeometry.Sphere.IsTangentAt.mem_and_mem_iff_eq, EuclideanGeometry.collinear_iff_eq_or_eq_or_sin_eq_zero, EuclideanGeometry.Sphere.IsDiameter.sbtw, AffineSubspace.mem_perpBisector_iff_inner_eq_inner, EuclideanGeometry.Sphere.IsTangent.infDist_eq_radius, EuclideanGeometry.inversion_def, Affine.Simplex.inner_vsub_altitudeFoot_vsub_altitudeFoot_eq_zero, Affine.Simplex.dist_circumcenter_eq_circumradius', EuclideanGeometry.Sphere.IsTangent.notMem_of_dist_lt, signedDist_triangle_right, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, EuclideanGeometry.Sphere.IsIntTangentAt.wbtw, ConcaveOn.slope_le_derivWithin, EuclideanGeometry.Sphere.IsTangentAt.le_orthRadius, ZSpan.isAddFundamentalDomain, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, dist_homothety_center, abs_signedDist_eq_dist_iff_vsub_mem_span, EuclideanGeometry.Concyclic.Coplanar, Affine.Simplex.ExcenterExists.isTangentAt_exsphere_iff_eq_touchpoint, MeasureTheory.Measure.addHaar_affineSubspace, nndist_vadd_right, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_pair, Affine.Simplex.pointsWithCircumcenter_point, LipschitzWith.vsub, Affine.Simplex.mongePoint_reindex, Affine.Triangle.affineSpan_pair_eq_orthRadius_insphere, EuclideanGeometry.cospherical_or_collinear_of_two_zsmul_oangle_eq, AffineSubspace.subtypeโแตข_linear, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, EuclideanGeometry.angle_homothety, nndist_eq_nnnorm_vsub, Affine.Simplex.altitude_reindex, signedDist_neg, ConcaveOn.leftDeriv_le_slope, Real.Convex.dimH_eq_finrank_vectorSpan, ConcaveOn.derivWithin_le_slope, continuous_barycentric_coord, signedDist_vsub_self_rev, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, signedDist_linear_apply, ConcaveOn.deriv_le_slope, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, AffineIsometryEquiv.coe_vaddConst_symm, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_right, Affine.Simplex.incenter_eq_affineCombination, signedDist_self, ContinuousAffineMap.hasFDerivAtFilter, signedDist_vsub_self, EuclideanGeometry.inversion_mul, signedDist_smul, Affine.Simplex.sOppSide_point_excenter_singleton, Affine.Simplex.regular_reindex_iff, ContinuousAffineMap.hasFDerivAt, AffineSubspace.mem_perpBisector_iff_dist_eq', AffineSubspace.isPreconnected_setOf_wSameSide, Affine.Simplex.ninePointCircle_center_mem_affineSpan, ContinuousAffineMap.norm_image_zero_le, ConcaveOn.slope_le_of_hasDerivWithinAt, AffineSubspace.perpBisector_eq_top, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, dist_pointReflection_right, EuclideanGeometry.orthogonalProjection_mem, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, StrictConvexOn.lt_slope_of_hasDerivWithinAt, AffineSubspace.midpoint_mem_perpBisector, Affine.Simplex.touchpoint_reindex, EuclideanGeometry.inner_weightedVSub, nndist_midpoint_midpoint_le, EuclideanGeometry.Sphere.center_mem_orthRadius_iff, EuclideanGeometry.collinear_of_sin_eq_zero, Affine.Simplex.ExcenterExists.excenter_mem_affineSpan_range, signedDist_smul_of_neg, Affine.Triangle.orthocenter_mem_altitude, EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, Affine.Triangle.eulerPoint_eq_midpoint, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, ConvexOn.derivWithin_le_slope, Affine.Simplex.sign_signedInfDist_touchpoint_empty, signedDist_vadd_right_swap, ContinuousAffineMap.fderivWithin, Affine.Simplex.midpoint_faceOppositeCentroid_eulerPoint, ProbabilityTheory.condExp_ae_eq_integral_condDistrib', EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, EuclideanGeometry.Sphere.IsDiameter.midpoint_eq_center, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, dist_vadd_cancel_left, EuclideanGeometry.Sphere.secondInter_vsub_mem_affineSpan, dist_vsub_vsub_le, EuclideanGeometry.inner_nonneg_of_dist_le_radius, Affine.Simplex.point_eq_affineCombination_of_pointsWithCircumcenter, IsometryEquiv.vaddConst_apply, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, AffineSubspace.perpBisector_self, AffineIsometryEquiv.toAffineEquiv_injective, IntervalIntegrable.intervalIntegrable_slope, inner_vsub_vsub_left_eq_dist_sq_right_iff, Affine.Simplex.Equilateral.dist_eq, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, EuclideanGeometry.Sphere.isDiameter_iff_mem_and_mem_and_wbtw, EuclideanGeometry.oangle_midpoint_rev_right, affineSpan_eq_top_of_nonempty_interior, AffineIsometry.map_vadd, AffineIsometry.toContinuousAffineMap_injective, to_isIsIsometricVAdd, Affine.Simplex.incenter_mem_affineSpan_range, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, EuclideanGeometry.orthogonalProjection_orthogonalProjection, Affine.Simplex.eulerPoint_reindex, dist_left_lineMap, Affine.Simplex.excenterWeights_map, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, nndist_vsub_cancel_left, signedDist_vadd_left, AffineSpace.asymptoticNhds_le_cobounded, Affine.Simplex.incenter_notMem_affineSpan_pair, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, Affine.Simplex.touchpoint_eq_point_rev, exists_deriv_eq_slope', Affine.Simplex.signedInfDist_reindex, EuclideanGeometry.angle_const_vsub, AffineSubspace.isPreconnected_setOf_sOppSide, signedDist_apply_linear_apply, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff, Affine.Simplex.neg_one_lt_inner_vsub_altitudeFoot_div, Affine.Simplex.ExcenterExists.touchpointWeights_map, EuclideanGeometry.collinear_of_angle_eq_pi, Affine.Simplex.mongePoint_map, Affine.Simplex.eulerPoint_map, Affine.Triangle.sOppSide_affineSpan_pair_point_excenter_singleton, AffineSubspace.signedInfDist_singleton, EuclideanGeometry.angle_midpoint_eq_pi, intrinsicInterior_nonempty, EuclideanGeometry.Sphere.orthRadius_map, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, Affine.Simplex.affineCombination_touchpointWeights, AffineSubspace.subtypeโแตข_linearIsometry, edist_vadd_vadd_le, Affine.Triangle.orthocenter_mem_affineSpan, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_not_collinear, IsometryEquiv.constVSub_apply, Affine.Simplex.faceOppositeCentroid_mem_ninePointCircle, Affine.Simplex.mongePoint_mem_affineSpan, ConvexOn.slope_le_of_hasDerivAt, EuclideanGeometry.Sphere.IsTangent.isTangentAt, ZLattice.isAddFundamentalDomain, EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iff, EuclideanGeometry.collinear_iff_eq_or_eq_or_angle_eq_zero_or_angle_eq_pi, Affine.Simplex.incenter_reindex, AffineSubspace.mem_perpBisector_iff_dist_eq, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, EuclideanGeometry.reflection_apply', AffineIsometryEquiv.ofEq_rfl, ConvexOn.deriv_le_slope, ContinuousAffineMap.differentiableOn, ContinuousAffineMap.norm_comp_le, signedDist_right_lineMap, ConvexOn.rightDeriv_le_slope, EuclideanGeometry.Sphere.mem_tangentSet_iff, Affine.Simplex.altitude_map, StrictConcaveOn.lt_slope_of_hasDerivWithinAt, StrictConvexOn.derivWithin_lt_slope, AffineIsometry.toAffineMap_injective, AffineIsometryEquiv.toAffineEquiv_refl, nndist_lineMap_lineMap, EuclideanGeometry.Sphere.isTangentAt_center_iff, asymptoticCone_subset_singleton_of_bounded, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Affine.Simplex.orthogonalProjectionSpan_reindex, MeasureTheory.hausdorffMeasure_affineSegment, Affine.Triangle.sbtw_touchpoint_empty, nndist_vsub_cancel_right, dist_lt_dist_add_dist_iff, Affine.Simplex.touchpoint_empty_notMem_affineSpan_of_ne, norm_sub_le_mul_volume_of_norm_fderiv_le, EuclideanGeometry.Sphere.IsTangentAt_iff_angle_eq_pi_div_two, IsometryEquiv.vaddConst_symm_apply, AffineIsometryEquiv.map_vadd, EuclideanGeometry.orthogonalProjection_linear, StrictConvexOn.slope_lt_of_hasDerivWithinAt, Affine.Simplex.sSameSide_point_excenter_singleton, AffineSubspace.signedInfDist_def, Affine.Simplex.acuteAngled_reindex_iff, ConcaveOn.slope_le_rightDeriv, Affine.Simplex.mem_altitude, Affine.Simplex.isDiameter_ninePointCircle, signedDist_lineMap_right, Affine.Triangle.sSameSide_affineSpan_pair_point_excenter_singleton, dist_pointReflection_left, Affine.Triangle.dist_div_sin_angle_div_two_eq_circumradius, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, Affine.Simplex.mongePlane_reindex, dist_eq_norm_vsub, AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, EuclideanGeometry.Sphere.isTangentAt_iff_dist_sq_eq_power, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, ContinuousAffineMap.hasFDerivWithinAt, isOpenMap_barycentric_coord, Affine.Simplex.signedInfDist_affineCombination, signedDist_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, EuclideanGeometry.dist_affineCombination, signedDist_eq_dist_iff_vsub_mem_span, EuclideanGeometry.Sphere.mem_commonIntTangents_iff, AffineSubspace.direction_perpBisector, AffineSubspace.angle_coe, Affine.Simplex.ninePointCircle_map, EuclideanGeometry.dist_smul_vadd_eq_dist, nndist_homothety_center, EuclideanGeometry.orthogonalProjection_eq_self_iff, AffineSubspace.mem_perpBisector_iff_inner_eq, EuclideanGeometry.reflection_subtype, Complex.differentiableOn_update_limUnder_insert_of_isLittleO, AffineIsometryEquiv.coe_vaddConst', uniformContinuous_vadd, EuclideanGeometry.angle_right_midpoint_eq_pi_div_two_of_dist_eq, dist_midpoint_midpoint_le', AffineSubspace.isometryEquivMap.apply_symm_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, AffineBasis.centroid_mem_interior_convexHull, EuclideanGeometry.concyclic_or_collinear_of_two_zsmul_oangle_eq, dist_right_lineMap, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, ZSpan.vadd_mem_fundamentalDomain, AffineIsometryEquiv.norm_map, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, Affine.Simplex.touchpoint_mem_affineSpan_simplex, closure_diff_intrinsicInterior, EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtw, Affine.Simplex.circumsphere_reindex, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, EuclideanGeometry.orthogonalProjection_apply, EuclideanGeometry.Sphere.direction_orthRadius, Affine.Simplex.Equilateral.angle_eq_pi_div_three, EuclideanGeometry.dist_sq_add_dist_sq_eq_two_mul_dist_midpoint_sq_add_half_dist_sq, EuclideanGeometry.inner_pos_of_dist_lt_radius, Affine.Simplex.circumradius_reindex, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, EuclideanGeometry.orthogonalProjection_mem_orthogonal, inner_vsub_vsub_left_eq_dist_sq_left_iff, AffineIsometryEquiv.toAffineEquiv_symm, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, nndist_vadd_cancel_left, IsOpen.affineSpan_eq_top, EuclideanGeometry.inner_vsub_vsub_of_mem_sphere_of_mem_sphere, lipschitzWith_lineMap, Affine.Triangle.sSameSide_affineSpan_pair_excenter_singleton_point, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, AffineIsometryEquiv.toContinuousAffineEquiv_injective, edist_vsub_vsub_le, abs_signedDist_le_dist, dist_midpoint_left, MeasureTheory.hausdorffMeasure_homothety_preimage, Affine.Triangle.dist_div_sin_oangle_div_two_eq_circumradius, MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Ioi, EuclideanGeometry.affineIndependent_iff_of_two_zsmul_oangle_eq, nndist_right_midpoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Affine.Simplex.height_reindex, Affine.Simplex.inradius_map, OpenPartialHomeomorph.unitBallBall_symm_apply, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, EuclideanGeometry.Sphere.secondInter_eq_lineMap, signedDist_apply_linear, StrictConcaveOn.leftDeriv_lt_slope, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_midpoint_eq_center, AffineSubspace.subtypeโแตข_toAffineMap, antilipschitzWith_lineMap, AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero, Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_pointReflection_center_left, Affine.Simplex.altitudeFoot_mem_affineSpan_faceOpposite, nndist_vadd_vadd_le, EuclideanGeometry.inversion_eq_lineMap, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, Affine.Simplex.signedInfDist_apply_of_ne, AffineIsometry.coe_toContinuousAffineMap, signedDist_left_lineMap, Affine.Simplex.direction_altitude, OpenPartialHomeomorph.unitBallBall_apply, Affine.Simplex.circumcenter_eq_centroid, ConcaveOn.slope_le_deriv, Affine.Simplex.excenter_reindex, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, AffineIsometry.image_intrinsicFrontier, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, nndist_self_homothety, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, eq_midpoint_of_dist_eq_half, EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq, MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Iic, intrinsicClosure_eq_closure, Affine.Triangle.sSameSide_affineSpan_pair_incenter_point, AffineIsometryEquiv.dist_pointReflection_self', ContinuousAffineMap.differentiableAt, dist_vadd_vadd_le, ConcaveOn.le_slope_of_hasDerivAt, Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenter, Affine.Simplex.incenter_notMem_affineSpan_faceOpposite, Affine.Simplex.touchpoint_empty_mem_interior_faceOpposite, AffineIsometry.id_toAffineMap, AffineSubspace.right_mem_perpBisector, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, nndist_homothety_self, EuclideanGeometry.reflection_apply, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, EuclideanGeometry.Sphere.secondInter_eq_self_iff, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, EuclideanGeometry.Sphere.finrank_orthRadius, nndist_eq_nnnorm_vsub', ConvexOn.slope_le_leftDeriv_of_mem_interior, Affine.Simplex.points_vsub_eulerPoint, Affine.Simplex.ExcenterExists.sSameSide_excenter_point_iff, inner_vsub_vsub_right_eq_dist_sq_right_iff, EuclideanGeometry.angle_eq_pi_iff_sbtw, inner_vsub_left_eq_zero_symm, dist_lineMap_lineMap, Affine.Triangle.dist_point_centroid, Affine.Triangle.orthocenter_reindex, Affine.Simplex.circumradius_map, dist_eq_norm', nndist_lineMap_left, AffineIsometryEquiv.pointReflection_midpoint_right, EuclideanGeometry.Sphere.infDist_eq_radius_iff_isTangent, Affine.Simplex.altitude_def, signedDist_vadd_vadd, Urysohns.CU.lim_eq_midpoint, EuclideanGeometry.Sphere.self_mem_orthRadius, Affine.Simplex.insphere_reindex, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, EuclideanGeometry.angle_const_vadd, Affine.Triangle.equilateral_iff_dist_eq_and_dist_eq, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, Affine.Simplex.sSameSide_point_incenter, AffineMap.continuous_of_finiteDimensional, AffineSubspace.isPreconnected_setOf_sSameSide, AffineIsometryEquiv.coe_toAffineEquiv, AffineIsometryEquiv.coe_toContinuousAffineEquiv, Affine.Simplex.ExcenterExists.sSameSide_point_excenter_iff, StrictConvexOn.slope_lt_of_hasDerivAt, Affine.Simplex.signedInfDist_incenter, MeasureTheory.Measure.addHaar_image_homothety, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq
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