SeminormFromConst

📁 Source: Mathlib/Analysis/Normed/Unbundled/SeminormFromConst.lean

Statistics

Metric	Count
Definitions normFromConst, seminormFromConst, seminormFromConst', seminormFromConst_seq	4
Theorems seminormFromConstRingNormOfField_def, seminormFromConst_apply_c, seminormFromConst_apply_of_isMul, seminormFromConst_bddBelow, seminormFromConst_const_mul, seminormFromConst_def, seminormFromConst_isLimit, seminormFromConst_isMul_of_isMul, seminormFromConst_isNonarchimedean, seminormFromConst_isPowMul, seminormFromConst_le_seminorm, seminormFromConst_one, seminormFromConst_one_le, seminormFromConst_seq_antitone, seminormFromConst_seq_def, seminormFromConst_seq_nonneg, seminormFromConst_seq_one, seminormFromConst_seq_zero, tendsto_seminormFromConst_seq_atTop	19
Total	23

(root)

Definitions

Name	Category	Theorems
normFromConst 📖	CompOp	1 math math: seminormFromConstRingNormOfField_def
seminormFromConst 📖	CompOp	2 math math: seminormFromConst_def, algNormFromConst_def
seminormFromConst' 📖	CompOp	13 math math: seminormFromConst_isMul_of_isMul, seminormFromConst_one_le, seminormFromConst_isNonarchimedean, seminormFromConst_le_seminorm, seminormFromConst_const_mul, seminormFromConst_apply_of_isMul, seminormFromConst_isPowMul, seminormFromConst_one, seminormFromConst_isLimit, seminormFromConst_apply_c, seminormFromConst_def, tendsto_seminormFromConst_seq_atTop, seminormFromConstRingNormOfField_def
seminormFromConst_seq 📖	CompOp	8 math math: seminormFromConst_seq_antitone, seminormFromConst_seq_one, seminormFromConst_isLimit, tendsto_seminormFromConst_seq_atTop, seminormFromConst_bddBelow, seminormFromConst_seq_def, seminormFromConst_seq_zero, seminormFromConst_seq_nonneg

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
seminormFromConstRingNormOfField_def 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing Field.toCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne DivisionRing.toRing Field.toDivisionRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero DivisionSemiring.toSemiring Semifield.toDivisionSemiring Field.toSemifield	RingNorm RingNorm.funLike normFromConst seminormFromConst'	—	—
seminormFromConst_apply_c 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst'	—	mul_comm pow_succ le_add_self Nat.instCanonicallyOrderedAdd mul_div_assoc div_self pow_ne_zero isReduced_of_noZeroDivisors NormMulClass.toNoZeroDivisors NormedDivisionRing.toNormMulClass mul_one tendsto_const_nhds tendsto_nhds_unique TopologicalSpace.t2Space_of_metrizableSpace EMetricSpace.metrizableSpace Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat tendsto_seminormFromConst_seq_atTop
seminormFromConst_apply_of_isMul 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring Real.instMul	seminormFromConst'	—	pow_zero mul_one div_one mul_div_assoc div_self pow_ne_zero isReduced_of_noZeroDivisors NormMulClass.toNoZeroDivisors NormedDivisionRing.toNormMulClass tendsto_const_nhds tendsto_nhds_unique TopologicalSpace.t2Space_of_metrizableSpace EMetricSpace.metrizableSpace Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat tendsto_seminormFromConst_seq_atTop
seminormFromConst_bddBelow 📖	mathematical	—	BddBelow Real Real.instLE Set.range seminormFromConst_seq	—	seminormFromConst_seq_nonneg
seminormFromConst_const_mul 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst' Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring Real.instMul	—	Filter.Tendsto.comp tendsto_seminormFromConst_seq_atTop Filter.tendsto_atTop_atTop_of_monotone add_left_mono covariant_swap_add_of_covariant_add IsOrderedAddMonoid.toAddLeftMono Nat.instIsOrderedAddMonoid seminormFromConst_apply_c tendsto_nhds_unique TopologicalSpace.t2Space_of_metrizableSpace EMetricSpace.metrizableSpace Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat Mathlib.Tactic.Ring.div_congr Mathlib.Tactic.Ring.atom_pf' Mathlib.Tactic.Ring.mul_congr Mathlib.Tactic.Ring.atom_pf Mathlib.Tactic.Ring.add_mul Mathlib.Tactic.Ring.mul_add Mathlib.Tactic.Ring.mul_pf_left Mathlib.Tactic.Ring.mul_pf_right Mathlib.Tactic.Ring.one_mul Mathlib.Tactic.Ring.mul_zero Mathlib.Tactic.Ring.add_pf_add_zero Mathlib.Tactic.Ring.zero_mul Mathlib.Tactic.Ring.pow_congr Mathlib.Tactic.Ring.pow_add Mathlib.Tactic.Ring.single_pow Mathlib.Tactic.Ring.mul_pow Mathlib.Tactic.Ring.one_pow Mathlib.Tactic.Ring.pow_zero Mathlib.Tactic.RingNF.nat_rawCast_1 pow_one mul_one Mathlib.Tactic.RingNF.mul_assoc_rev add_zero Mathlib.Tactic.Ring.div_pf Mathlib.Tactic.Ring.inv_single Mathlib.Tactic.Ring.inv_mul Mathlib.Meta.NormNum.IsNat.to_raw_eq Mathlib.Meta.NormNum.IsNNRat.to_isNat Mathlib.Meta.NormNum.isNNRat_inv_pos RCLike.charZero_rclike Mathlib.Meta.NormNum.IsNat.to_isNNRat Mathlib.Meta.NormNum.IsNat.of_raw Mathlib.Tactic.Ring.add_congr Mathlib.Tactic.Ring.cast_pos Mathlib.Meta.NormNum.isNat_ofNat Mathlib.Tactic.Ring.add_pf_add_gt Mathlib.Tactic.Ring.pow_one_cast mul_assoc mul_inv_cancel₀ Filter.Tendsto.mul IsTopologicalSemiring.toContinuousMul IsTopologicalRing.toIsTopologicalSemiring instIsTopologicalRingReal tendsto_const_nhds
seminormFromConst_def 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst seminormFromConst'	—	—
seminormFromConst_isLimit 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	Filter.Tendsto seminormFromConst_seq Filter.atTop Nat.instPreorder nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace seminormFromConst'	—	tendsto_seminormFromConst_seq_atTop
seminormFromConst_isMul_of_isMul 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring Real.instMul	seminormFromConst'	—	seminormFromConst_apply_of_isMul mul_assoc mul_div_assoc Filter.Tendsto.const_mul IsTopologicalSemiring.toContinuousMul IsTopologicalRing.toIsTopologicalSemiring instIsTopologicalRingReal tendsto_seminormFromConst_seq_atTop tendsto_nhds_unique TopologicalSpace.t2Space_of_metrizableSpace EMetricSpace.metrizableSpace Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat
seminormFromConst_isNonarchimedean 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring IsNonarchimedean Real.linearOrder Distrib.toAdd NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring	seminormFromConst'	—	le_of_tendsto_of_tendsto' HasSolidNorm.orderClosedTopology instHasSolidNormReal Real.instIsOrderedAddMonoid Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat tendsto_seminormFromConst_seq_atTop Filter.Tendsto.max add_mul Distrib.rightDistribClass le_max_iff div_le_div_of_nonneg_right MulPosReflectLE.toMulPosReflectLT MulPosStrictMono.toMulPosReflectLE IsStrictOrderedRing.toMulPosStrictMono Real.instIsStrictOrderedRing le_of_lt pow_pos IsStrictOrderedRing.toPosMulStrictMono IsStrictOrderedRing.toZeroLEOneClass lt_of_le_of_ne' NonnegHomClass.apply_nonneg RingSeminormClass.toNonnegHomClass RingSeminorm.ringSeminormClass
seminormFromConst_isPowMul 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst'	—	Filter.Tendsto.comp tendsto_seminormFromConst_seq_atTop Filter.tendsto_atTop_atTop_of_monotone mul_le_mul_right Nat.instMulLeftMono le_mul_of_one_le_left' covariant_swap_mul_of_covariant_mul tendsto_nhds_unique TopologicalSpace.t2Space_of_metrizableSpace EMetricSpace.metrizableSpace Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat mul_comm div_pow mul_pow Filter.Tendsto.pow IsTopologicalSemiring.toContinuousMul IsTopologicalRing.toIsTopologicalSemiring instIsTopologicalRingReal
seminormFromConst_le_seminorm 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst'	—	le_of_tendsto instClosedIicTopology HasSolidNorm.orderClosedTopology instHasSolidNormReal Real.instIsOrderedAddMonoid Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat tendsto_seminormFromConst_seq_atTop seminormFromConst_seq.eq_1 div_le_iff₀ MulPosReflectLE.toMulPosReflectLT MulPosStrictMono.toMulPosReflectLE IsStrictOrderedRing.toMulPosStrictMono Real.instIsStrictOrderedRing pow_pos IsStrictOrderedRing.toPosMulStrictMono IsStrictOrderedRing.toZeroLEOneClass lt_of_le_of_ne' NonnegHomClass.apply_nonneg RingSeminormClass.toNonnegHomClass RingSeminorm.ringSeminormClass SubmultiplicativeHomClass.map_mul_le_mul RingSeminormClass.toSubmultiplicativeHomClass
seminormFromConst_one 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst'	—	tendsto_nhds_unique_of_eventuallyEq TopologicalSpace.t2Space_of_metrizableSpace EMetricSpace.metrizableSpace Filter.atTop_neBot instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat tendsto_seminormFromConst_seq_atTop tendsto_const_nhds seminormFromConst_seq_one
seminormFromConst_one_le 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	seminormFromConst'	—	le_of_eq seminormFromConst_one
seminormFromConst_seq_antitone 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	Antitone Nat.instPreorder Real.instPreorder seminormFromConst_seq	—	pow_add mul_assoc lt_of_le_of_ne NonnegHomClass.apply_nonneg RingSeminormClass.toNonnegHomClass Real.instIsOrderedAddMonoid RingSeminorm.ringSeminormClass le_trans div_le_div_iff_of_pos_right MulPosReflectLE.toMulPosReflectLT MulPosStrictMono.toMulPosReflectLE IsStrictOrderedRing.toMulPosStrictMono Real.instIsStrictOrderedRing pow_pos IsStrictOrderedRing.toPosMulStrictMono Real.instZeroLEOneClass SubmultiplicativeHomClass.map_mul_le_mul RingSeminormClass.toSubmultiplicativeHomClass LE.le.eq_or_lt pow_zero mul_one mul_le_mul_of_nonneg_left IsOrderedRing.toPosMulMono Real.instIsOrderedRing mul_div_assoc div_eq_mul_inv pow_sub₀ mul_comm mul_inv_cancel₀ pow_ne_zero isReduced_of_noZeroDivisors NormMulClass.toNoZeroDivisors NormedDivisionRing.toNormMulClass one_mul le_refl
seminormFromConst_seq_def 📖	mathematical	—	seminormFromConst_seq Real DivInvMonoid.toDiv Real.instDivInvMonoid DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring Real.instMonoid	—	—
seminormFromConst_seq_nonneg 📖	mathematical	—	Pi.hasLe Real Real.instLE Pi.instZero Real.instZero seminormFromConst_seq	—	div_nonneg PosMulReflectLE.toPosMulReflectLT PosMulStrictMono.toPosMulReflectLE IsStrictOrderedRing.toPosMulStrictMono Real.instIsStrictOrderedRing NonnegHomClass.apply_nonneg RingSeminormClass.toNonnegHomClass Real.instIsOrderedAddMonoid RingSeminorm.ringSeminormClass pow_nonneg Real.instZeroLEOneClass IsOrderedRing.toPosMulMono Real.instIsOrderedRing
seminormFromConst_seq_one 📖	mathematical	IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing Real RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing	seminormFromConst_seq AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne	—	one_mul div_self pow_ne_zero isReduced_of_noZeroDivisors NormMulClass.toNoZeroDivisors NormedDivisionRing.toNormMulClass
seminormFromConst_seq_zero 📖	mathematical	DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing Real RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing MulZeroClass.toZero NonUnitalNonAssocSemiring.toMulZeroClass NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring Real.instZero	seminormFromConst_seq Pi.instZero	—	seminormFromConst_seq_def MulZeroClass.zero_mul zero_div Pi.zero_apply
tendsto_seminormFromConst_seq_atTop 📖	mathematical	Real Real.instLE DFunLike.coe RingSeminorm NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing CommRing.toNonUnitalCommRing RingSeminorm.funLike NonUnitalCommRing.toNonUnitalRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne CommRing.toRing Real.instOne IsPowMul Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero CommSemiring.toSemiring CommRing.toCommSemiring	Filter.Tendsto seminormFromConst_seq Filter.atTop Nat.instPreorder nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace seminormFromConst'	—	tendsto_atTop_ciInf LinearOrder.infConvergenceClass instOrderTopologyReal seminormFromConst_seq_antitone seminormFromConst_bddBelow

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