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ifield.toDivisionSemiring","SeminormedAddCommGroup.toIsTopologicalAddGroup","SeminormedAddCommGroup.toSeminormedAddGroup","SeminormedAddGroup.toNorm","SeminormedCommRing.toNonUnitalSeminormedCommRing","SeminormedCommRing.toSeminormedRing","SeminormedRing.toPseudoMetricSpace","Semiring.toMonoid","Semiring.toNonAssocSemiring","Set","Set.EqOn","Set.EqOn.image_eq","Set.EqOn.mono","Set.Nonempty.ne_empty","Set.Nonempty.of_image","Set.image","Set.image_image","Set.image_subset_iff._simp_1","Set.instEmptyCollection","Set.instLE","Set.ofPred","Set.preimage","Set.subset_univ._simp_1","Set.univ","SetLike.instMembership","StarAddMonoid.toInvolutiveStar","StarRing.toStarAddMonoid","StarRing.toStarMul","SubNegMonoid.toSub","Submonoid","Submonoid.instSetLike","Subsingleton","True","UniformSpace.toTopologicalSpace","Zero.toOfNat0","cfc","cfc_id'","cfc_one","cfc_sub","congrArg","congrFun'","continuousOn_const","continuousOn_id'","continuous_one","covariant_swap_add_of_covariant_add","eq_self","funext","id","instCommCStarAlgebraComplex","instDistribOfSemiring","instHMul","instHPow","instHSub","instMulZeroClassOfSemiring","instOfNatAtLeastTwo","instOfNatNat","isStarNormal_of_mem_unitary","le_of_lt","mul_le_mul_of_nonneg_left","norm_nonneg._simp_1","of_eq_true","pow_left_monotoneOn","spectrum","spectrum.of_subsingleton","spectrum.subset_circle_of_unitary","sub_le_sub_left","subsingleton_or_nontrivial","unitary"]} 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ulAction","DistribSMul.toSMulZeroClass","DivisionSemiring.toSemiring","Eq","Eq.mp","Eq.mpr","Eq.ndrec","Eq.rec","Eq.symm","Eq.trans","Eq.trans_le","Exists.casesOn","Exists.intro","Field.toCommRing","Field.toSemifield","HAdd.hAdd","HMul.hMul","HPow.hPow","HSMul.hSMul","Iff.mp","Iff.mpr","InvolutiveStar.toStar","IsBoundedSMul.toUniformContinuousConstSMul","IsOrderedAddMonoid.toAddLeftMono","IsOrderedRing.toMulPosMono","IsOrderedRing.toPosMulMono","IsScalarTower","IsScalarTower.left","IsSemitopologicalRing.toIsSemitopologicalSemiring","IsSemitopologicalSemiring.toContinuousAdd","IsTopologicalAddGroup.toContinuousAdd","IsTopologicalRing.toIsSemitopologicalRing","LE.le","LE.le.trans","Lattice.toSemilatticeInf","LinearMap","LinearMap.instFunLike","Membership.mem","Metric.closedBall","Metric.nonempty_closedBall","Module.toDistribMulAction","Monoid.toMulOneClass","Monoid.toNPow","Monoid.toSemigroup","MulAction.toSemigroupAction","MulOne.toMul","MulOne.toOne","MulOneClass.toMulOne","MulZeroClass.toZero","MulZeroOneClass.toMulOneClass","NPow.toPow","Nat","NegZeroClass.toZero","NonAssocSemiring.toAddCommMonoidWithOne","NonUnitalCommRing.toNonUnitalNonAssocCommRing","NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing","NonUnitalNonAssocRing.toAddCommGroup","NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring","NonUnitalNonAssocSemiring.toAddCommMonoid","NonUnitalNonAssocSemiring.toDistrib","NonUnitalNonAssocSemiring.toMulZeroClass","NonUnitalNormedRing","NonUnitalNormedRing.toNonUnitalRing","NonUnitalNormedRing.toNonUnitalSeminormedRing","NonUnitalNormedRing.toNorm","NonUnitalNormedRing.toNormedAddCommGroup","NonUnitalRing.toNonUnitalNonAssocRing","NonUnitalRing.toNonUnitalSemiring","NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing","NonUnitalSeminormedRing.toIsTopologicalRing","NonUnitalSeminormedRing.toNonUnitalRing","NonUnitalSeminormedRing.toNorm","NonUnitalSeminormedRing.toPseudoMetricSpace","NonUnitalSeminormedRing.toSeminormedAddCommGroup","NonUnitalSemiring.toSemigroupWithZero","NontriviallyNormedField.toNormedField","Norm.norm","NormedAddCommGroup.toAddCommGroup","NormedAddCommGroup.toSeminormedAddCommGroup","NormedCommRing.toSeminormedCommRing","NormedField.toField","NormedField.toNorm","NormedField.toNormedCommRing","NormedSpace","NormedSpace.toIsBoundedSMul","NormedSpace.toModule","NormedSpace.toNormSMulClass","OfNat.ofNat","One.toOfNat1","PartialOrder.toPreorder","Preorder.toLE","Prod","Prod.algebra","Prod.fst","Prod.instSemiring","Prod.mk","Prod.snd","PseudoMetricSpace.toUniformSpace","Real","Real.instAdd","Real.instAddCommMonoid","Real.instAddCommSemigroup","Real.instConditionallyCompleteLinearOrder","Real.instIsOrderedAddMonoid","Real.instIsOrderedRing","Real.instLE","Real.instMonoid","Real.instMul","Real.instOne","Real.instPreorder","Real.instSupSet","Real.instZero","Real.instZeroLEOneClass","Real.le_sqrt","Real.partialOrder","Real.semiring","Real.sqrt","Real.sqrt_le_sqrt_iff","Real.sqrt_sq","RingHom","RingHom.id","RingHom.instFunLike","RingHomIsometric.ids","SMulCommClass","SMulZeroClass.toSMul","Semifield.toCommSemiring","Semifield.toDivisionSemiring","Semigroup.toMul","SemigroupAction.toSMul","SemigroupWithZero.toSemigroup","SemilatticeInf.toPartialOrder","SeminormedAddCommGroup.toAddCommGroup","SeminormedAddCommGroup.toIsTopologicalAddGroup","SeminormedAddCommGroup.toNorm","SeminormedAddCommGroup.toPseudoMetricSpace","SeminormedAddCommGroup.toSeminormedAddGroup","SeminormedAddGroup.toAddGroup","SeminormedAddGroup.toNorm","SeminormedAddGroup.toPseudoMetricSpace","SeminormedCommRing.toNonUnitalSeminormedCommRing","SeminormedCommRing.toSeminormedRing","SeminormedRing.toPseudoMetricSpace","Semiring.toMonoid","Semiring.toNonAssocSemiring","Set","Set.Nonempty","Set.Nonempty.image","Set.image","Set.instMembership","Star.star","StarAddMonoid.star_add","StarAddMonoid.toInvolutiveStar","StarModule","StarModule.star_smul","StarMul.star_mul","StarMul.toInvolutiveStar","StarRing","StarRing.toStarAddMonoid","StarRing.toStarMul","SubNegMonoid.toAddMonoid","SubNegZeroMonoid.toNegZeroClass","SubtractionCommMonoid.toSubtractionMonoid","SubtractionMonoid.toSubNegZeroMonoid","SupSet.sSup","Trans.trans","True","UniformContinuousConstSMul.instContinuousConstSMul","UniformSpace.toTopologicalSpace","Unitization","Unitization.instAlgebra","Unitization.instMul","Unitization.instSemiring","Unitization.instStar","Unitization.splitMul","Unitization.splitMul_apply","Unitization.toProd","Zero.toOfNat0","_private.Mathlib.Analysis.CStarAlgebra.Unitization.0.Unitization.norm_splitMul_snd_sq._simp_1_1","_private.Mathlib.Analysis.CStarAlgebra.Unitization.0.Unitization.norm_splitMul_snd_sq._simp_1_2","add_apply","add_le_add","add_mul","congr","congrArg","congrFun'","covariant_swap_add_of_covariant_add","csSup_le","eq_self","id","instDistribOfSemiring","instHAdd","instHMul","instHPow","instHSMul","instMulZeroClassOfSemiring","instMulZeroOneClassOfSemiring","instOfNatNat","instSMulOfMul","instTransLE","le_csSup","mem_closedBall_zero_i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Monoid","Real.instIsOrderedRing","Real.instIsStrictOrderedRing","Real.instLE","Real.instLT","Real.instMul","Real.instNontrivial","Real.instOne","Real.instPreorder","Real.instRing","Real.instZero","Real.instZeroLEOneClass","Real.linearOrder","Real.partialOrder","Real.semiring","Ring","Ring.toAddCommGroup","Ring.toAddGroupWithOne","Ring.toSemiring","Semifield.toCommGroupWithZero","Semifield.toDivisionSemiring","SeminormedAddCommGroup.toSeminormedAddGroup","SeminormedAddGroup.toAddGroup","SeminormedAddGroup.toNorm","Semiring.toMonoid","Semiring.toNonAssocSemiring","SubNegMonoid.toSub","SubNegZeroMonoid.toNegZeroClass","Subsingleton","SubtractionCommMonoid.toSubtractionMonoid","SubtractionMonoid.toSubNegZeroMonoid","Trans.trans","True","Units","Units.instInv","Units.norm_pos","Units.val","Zero.toOfNat0","addRightReflectLE_of_addLeftReflectLE","congrArg","congrFun'","contravariant_lt_of_covariant_le","contravariant_swap_add_of_contravariant_add","covariant_swap_add_of_covariant_add","id","inferInstance","instDistribOfSemiring","instHAdd","instHMul","instHPow","instHSub","instIsRightCancelAddOfAddRightReflectLE","instMulZeroClassOfSemiring","instMulZeroOneClassOfSemiring","instTransEq","instTransEq_1","instTransLELT","lt_of_not_ge","mul_inv_cancel₀","mul_pos_of_neg_of_neg","ne_of_gt","norm_mul_le","norm_neg","norm_of_subsingleton","of_eq_true","rfl","zero_lt_one._simp_1"]} 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italNonAssocRing","NonUnitalNonAssocRing.toHasDistribNeg","NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring","NonUnitalNonAssocSemiring.toDistrib","NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing","NonUnitalSeminormedRing.toSeminormedAddCommGroup","Norm.norm","NormedAlgebra.toAlgebra","NormedCommRing.toSeminormedCommRing","NormedDivisionRing.toNormMulClass","NormedDivisionRing.to_normOneClass","NormedField.toField","NormedField.toNormedCommRing","NormedField.toNormedDivisionRing","NormedSpace.toModule","OfNat.ofNat","One.toOfNat1","Or","Or.casesOn","OrderHom","OrderHom.instFunLike","PartialOrder.toPreorder","Preorder.toLT","PseudoMetricSpace.toUniformSpace","RCLike.toNormedAlgebra","Real","Real.commRing","Real.decidableLT","Real.instAddCommGroup","Real.instAddGroup","Real.instCommSemiring","Real.instDivInvMonoid","Real.instDivisionRing","Real.instField","Real.instLT","Real.instMonoid","Real.instMul","Real.instNeg","Real.instNontrivial","Real.instOne","Real.instPreorder","Real.instRCLike","Real.instRing","Real.instZero","Real.lattice","Real.linearOrder","Real.normedField","Real.semiring","Ring.toAddCommGroup","Ring.toAddGroupWithOne","Ring.toSemiring","RingHom.id","RingHomInvPair.ids","SMulZeroClass.toSMul","Semifield.toCommGroupWithZero","Semifield.toCommSemiring","Semifield.toDivisionSemiring","SemilatticeInf.toPartialOrder","SeminormedCommRing.toNonUnitalSeminormedCommRing","SeminormedCommRing.toSeminormedRing","SeminormedRing.toNorm","SeminormedRing.toPseudoMetricSpace","SeminormedRing.toRing","Semiring.toAddCommMonoid","Semiring.toModule","Semiring.toMonoid","Semiring.toNonAssocSemiring","SignType","SignType.cast","SignType.coe_neg","SignType.instLinearOrder","SignType.instNeg","SignType.instOne","SignType.sign","SubNegZeroMonoid.toNegZeroClass","SubtractionCommMonoid.toSubtractionMonoid","SubtractionMonoid.toSubNegZeroMonoid","True","UniformSpace.toTopologicalSpace","Units","Units.instMulOneClass","Units.val","UpperHalfPlane.denom","UpperHalfPlane.smulFDeriv","UpperHalfPlane.smulFDeriv._proof_1","UpperHalfPlane.smulFDeriv._proof_2","UpperHalfPlane.smulFDeriv._proof_3","Zero.toOfNat0","_private.Mathlib.Analysis.Complex.UpperHalfPlane.Manifold.0.UpperHalfPlane.det_smulFDeriv._simp_1_2","abs","congr","congrArg","congrFun'","eq_false","eq_self","eq_true","id","instDecidableEqFin","instDistribLatticeOfLinearOrder","instDistribOfSemiring","instHDiv","instHMul","instHPow","instHSMul","instInnerProductSpaceRealComplex","instMulNat","instMulZeroClassOfSemiring","instMulZeroOneClassOfSemiring","instOfNatNat","ite","ite_cond_eq_false","ite_cond_eq_true","map_div₀","neg_div","neg_mul","norm_pow","of_eq_true","one_mul","sign_neg","sign_pos","sq_abs"]} 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oid.toAddMonoid","SubNegMonoid.toSub","SubNegZeroMonoid.toNegZeroClass","SubtractionCommMonoid.toSubtractionMonoid","SubtractionMonoid.toSubNegZeroMonoid","True","UniformSpace.toTopologicalSpace","Units","Units.instMonoid","Units.instMulOneClass","Units.val","UpperHalfPlane","UpperHalfPlane.coe","UpperHalfPlane.denom","UpperHalfPlane.glAction","UpperHalfPlane.im","UpperHalfPlane.num","UpperHalfPlane.num._proof_1","UpperHalfPlane.re","UpperHalfPlane.σ","Zero.toOfNat0","_private.Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints.0.UpperHalfPlane.gl_smul_eq_self_iff_re_eq._proof_1_6","_private.Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints.0.UpperHalfPlane.gl_smul_eq_self_iff_re_eq._simp_1_1","_private.Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints.0.UpperHalfPlane.gl_smul_eq_self_iff_re_eq._simp_1_2","_private.Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints.0.UpperHalfPlane.gl_smul_eq_self_iff_re_eq._simp_1_3","add_eq_zero_iff_eq_neg","add_zero","and_true","congr","congrArg","congrFun'","contravariant_lt_of_covariant_le","eq_false","eq_self","id","instDecidableEqFin","instDistribLatticeOfLinearOrder","instDistribOfSemiring","instHAdd","instHDiv","instHMul","instHSMul","instHSub","instIsLeftCancelAddOfAddLeftReflectLE","instMulZeroClassOfSemiring","instOfNatAtLeastTwo","instOfNatNat","ite_cond_eq_false","mul_comm","mul_eq_zero._simp_1","mul_neg","mul_self_pos._simp_1","neg_mul","neg_zero","not_false_eq_true","not_true_eq_false","of_eq_true","or_self","propext","starRingEnd","sub_self","sub_zero","zero_add"]} 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ormedRing.toPseudoMetricSpace","Semiring.toAddCommMonoid","Semiring.toModule","Semiring.toMonoid","Semiring.toNonAssocSemiring","SubNegMonoid.toAddMonoid","SubtractionCommMonoid.toSubtractionMonoid","SubtractionMonoid.toSubNegZeroMonoid","True","UniformSpace.toTopologicalSpace","Unit","UpperHalfPlane","UpperHalfPlane.IsBoundedAtImInfty","UpperHalfPlane.cuspFunction","UpperHalfPlane.differentiableOn_cuspFunction_ball","UpperHalfPlane.instChartedSpaceComplex","UpperHalfPlane.instTopologicalSpace","UpperHalfPlane.ofComplex","UpperHalfPlane.qExpansion","Zero.toOfNat0","chartedSpaceSelf","circleIntegral","congr","congrArg","congrFun'","div_eq_iff","div_eq_inv_mul","div_eq_mul_inv","eq_self","funext","id","instAddNat","instHAdd","instHDiv","instHMul","instHPow","instHSMul","instHSub","instOfNatAtLeastTwo","instOfNatNat","instSMulOfMul","iteratedDeriv","modelWithCornersSelf","mul_assoc","mul_comm","of_eq_true","one_div_mul_eq_div","propext","smul_eq_mul","sub_zero"]} 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