Mathlib Changelog
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2024-08-16 01:08
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chore: splitting up metric spaces files (
#15790
)
Estimated changes
Modified
Mathlib.lean
Modified
Mathlib/Analysis/BoxIntegral/Box/Basic.lean
Modified
Mathlib/Analysis/Convex/Extrema.lean
Modified
Mathlib/Analysis/Oscillation.lean
Modified
Mathlib/InformationTheory/Hamming.lean
Modified
Mathlib/Topology/EMetricSpace/Basic.lean
deleted
def
EMetric.ball
deleted
theorem
EMetric.ball_disjoint
deleted
theorem
EMetric.ball_eq_empty_iff
deleted
theorem
EMetric.ball_mem_nhds
deleted
theorem
EMetric.ball_prod_same
deleted
theorem
EMetric.ball_subset
deleted
theorem
EMetric.ball_subset_ball
deleted
theorem
EMetric.ball_subset_closedBall
deleted
theorem
EMetric.ball_zero
deleted
def
EMetric.closedBall
deleted
theorem
EMetric.closedBall_mem_nhds
deleted
theorem
EMetric.closedBall_prod_same
deleted
theorem
EMetric.closedBall_subset_closedBall
deleted
theorem
EMetric.closedBall_top
deleted
theorem
EMetric.diam_ball
deleted
theorem
EMetric.diam_closedBall
deleted
theorem
EMetric.diam_empty
deleted
theorem
EMetric.diam_eq_sSup
deleted
theorem
EMetric.diam_eq_zero_iff
deleted
theorem
EMetric.diam_iUnion_mem_option
deleted
theorem
EMetric.diam_image_le_iff
deleted
theorem
EMetric.diam_insert
deleted
theorem
EMetric.diam_le
deleted
theorem
EMetric.diam_le_iff
deleted
theorem
EMetric.diam_mono
deleted
theorem
EMetric.diam_one
deleted
theorem
EMetric.diam_pair
deleted
theorem
EMetric.diam_pi_le_of_le
deleted
theorem
EMetric.diam_pos_iff'
deleted
theorem
EMetric.diam_pos_iff
deleted
theorem
EMetric.diam_singleton
deleted
theorem
EMetric.diam_subsingleton
deleted
theorem
EMetric.diam_triple
deleted
theorem
EMetric.diam_union'
deleted
theorem
EMetric.diam_union
deleted
def
EMetric.edistLtTopSetoid
deleted
theorem
EMetric.edist_le_diam_of_mem
deleted
theorem
EMetric.edist_le_of_diam_le
deleted
theorem
EMetric.exists_ball_subset_ball
deleted
theorem
EMetric.isClosed_ball_top
deleted
theorem
EMetric.isOpen_ball
deleted
theorem
EMetric.isOpen_iff
deleted
theorem
EMetric.mem_ball'
deleted
theorem
EMetric.mem_ball
deleted
theorem
EMetric.mem_ball_comm
deleted
theorem
EMetric.mem_ball_self
deleted
theorem
EMetric.mem_closedBall'
deleted
theorem
EMetric.mem_closedBall
deleted
theorem
EMetric.mem_closedBall_comm
deleted
theorem
EMetric.mem_closedBall_self
deleted
theorem
EMetric.mem_closure_iff
deleted
theorem
EMetric.mem_nhdsWithin_iff
deleted
theorem
EMetric.mem_nhds_iff
deleted
theorem
EMetric.nhdsWithin_basis_closed_eball
deleted
theorem
EMetric.nhdsWithin_basis_eball
deleted
theorem
EMetric.nhds_basis_closed_eball
deleted
theorem
EMetric.nhds_basis_eball
deleted
theorem
EMetric.nhds_eq
deleted
theorem
EMetric.ordConnected_setOf_ball_subset
deleted
theorem
EMetric.ordConnected_setOf_closedBall_subset
deleted
theorem
EMetric.pos_of_mem_ball
deleted
theorem
EMetric.subset_countable_closure_of_almost_dense_set
deleted
theorem
EMetric.tendsto_atTop
deleted
theorem
EMetric.tendsto_nhds
deleted
theorem
EMetric.tendsto_nhdsWithin_nhds
deleted
theorem
EMetric.tendsto_nhdsWithin_nhdsWithin
deleted
theorem
EMetric.tendsto_nhds_nhds
deleted
theorem
EMetric.uniformContinuousOn_iff
deleted
theorem
EMetric.uniformContinuous_iff
deleted
def
EMetricSpace.induced
deleted
def
EMetricSpace.replaceUniformity
deleted
theorem
MulOpposite.edist_op
deleted
theorem
MulOpposite.edist_unop
deleted
theorem
Prod.edist_eq
deleted
def
PseudoEMetricSpace.induced
deleted
def
PseudoEMetricSpace.replaceUniformity
deleted
theorem
Subtype.edist_eq
deleted
theorem
TopologicalSpace.IsSeparable.exists_countable_dense_subset
deleted
theorem
TopologicalSpace.IsSeparable.separableSpace
deleted
theorem
ULift.edist_eq
deleted
theorem
ULift.edist_up_up
deleted
theorem
edist_congr
deleted
theorem
edist_congr_left
deleted
theorem
edist_congr_right
deleted
theorem
edist_eq_zero
deleted
theorem
edist_le_zero
deleted
theorem
edist_mem_uniformity
deleted
theorem
edist_ofAdd
deleted
theorem
edist_ofDual
deleted
theorem
edist_ofMul
deleted
theorem
edist_pos
deleted
theorem
edist_toAdd
deleted
theorem
edist_toDual
deleted
theorem
edist_toMul
deleted
theorem
edist_triangle4
deleted
theorem
edist_triangle_left
deleted
theorem
edist_triangle_right
deleted
theorem
eq_of_forall_edist_le
deleted
theorem
mem_uniformity_edist
deleted
def
uniformSpaceOfEDist
deleted
theorem
uniformSpace_edist
deleted
theorem
uniformity_basis_edist'
deleted
theorem
uniformity_basis_edist
deleted
theorem
uniformity_basis_edist_inv_nat
deleted
theorem
uniformity_basis_edist_inv_two_pow
deleted
theorem
uniformity_basis_edist_le'
deleted
theorem
uniformity_basis_edist_le
deleted
theorem
uniformity_basis_edist_nnreal
deleted
theorem
uniformity_basis_edist_nnreal_le
deleted
theorem
uniformity_dist_of_mem_uniformity
deleted
theorem
uniformity_edist
deleted
theorem
uniformity_pseudoedist
deleted
theorem
zero_eq_edist
Created
Mathlib/Topology/EMetricSpace/Defs.lean
added
def
EMetric.ball
added
theorem
EMetric.ball_disjoint
added
theorem
EMetric.ball_eq_empty_iff
added
theorem
EMetric.ball_mem_nhds
added
theorem
EMetric.ball_prod_same
added
theorem
EMetric.ball_subset
added
theorem
EMetric.ball_subset_ball
added
theorem
EMetric.ball_subset_closedBall
added
theorem
EMetric.ball_zero
added
def
EMetric.closedBall
added
theorem
EMetric.closedBall_mem_nhds
added
theorem
EMetric.closedBall_prod_same
added
theorem
EMetric.closedBall_subset_closedBall
added
theorem
EMetric.closedBall_top
added
def
EMetric.edistLtTopSetoid
added
theorem
EMetric.exists_ball_subset_ball
added
theorem
EMetric.isClosed_ball_top
added
theorem
EMetric.isOpen_ball
added
theorem
EMetric.isOpen_iff
added
theorem
EMetric.mem_ball'
added
theorem
EMetric.mem_ball
added
theorem
EMetric.mem_ball_comm
added
theorem
EMetric.mem_ball_self
added
theorem
EMetric.mem_closedBall'
added
theorem
EMetric.mem_closedBall
added
theorem
EMetric.mem_closedBall_comm
added
theorem
EMetric.mem_closedBall_self
added
theorem
EMetric.mem_closure_iff
added
theorem
EMetric.mem_nhdsWithin_iff
added
theorem
EMetric.mem_nhds_iff
added
theorem
EMetric.nhdsWithin_basis_closed_eball
added
theorem
EMetric.nhdsWithin_basis_eball
added
theorem
EMetric.nhds_basis_closed_eball
added
theorem
EMetric.nhds_basis_eball
added
theorem
EMetric.nhds_eq
added
theorem
EMetric.ordConnected_setOf_ball_subset
added
theorem
EMetric.ordConnected_setOf_closedBall_subset
added
theorem
EMetric.pos_of_mem_ball
added
theorem
EMetric.subset_countable_closure_of_almost_dense_set
added
theorem
EMetric.tendsto_atTop
added
theorem
EMetric.tendsto_nhds
added
theorem
EMetric.tendsto_nhdsWithin_nhds
added
theorem
EMetric.tendsto_nhdsWithin_nhdsWithin
added
theorem
EMetric.tendsto_nhds_nhds
added
theorem
EMetric.uniformContinuousOn_iff
added
theorem
EMetric.uniformContinuous_iff
added
def
EMetricSpace.induced
added
def
EMetricSpace.replaceUniformity
added
theorem
MulOpposite.edist_op
added
theorem
MulOpposite.edist_unop
added
theorem
Prod.edist_eq
added
def
PseudoEMetricSpace.induced
added
def
PseudoEMetricSpace.replaceUniformity
added
theorem
Subtype.edist_eq
added
theorem
TopologicalSpace.IsSeparable.exists_countable_dense_subset
added
theorem
TopologicalSpace.IsSeparable.separableSpace
added
theorem
ULift.edist_eq
added
theorem
ULift.edist_up_up
added
theorem
edist_congr
added
theorem
edist_congr_left
added
theorem
edist_congr_right
added
theorem
edist_eq_zero
added
theorem
edist_le_zero
added
theorem
edist_mem_uniformity
added
theorem
edist_ofAdd
added
theorem
edist_ofDual
added
theorem
edist_ofMul
added
theorem
edist_pos
added
theorem
edist_toAdd
added
theorem
edist_toDual
added
theorem
edist_toMul
added
theorem
edist_triangle4
added
theorem
edist_triangle_left
added
theorem
edist_triangle_right
added
theorem
eq_of_forall_edist_le
added
theorem
mem_uniformity_edist
added
def
uniformSpaceOfEDist
added
theorem
uniformSpace_edist
added
theorem
uniformity_basis_edist'
added
theorem
uniformity_basis_edist
added
theorem
uniformity_basis_edist_inv_nat
added
theorem
uniformity_basis_edist_inv_two_pow
added
theorem
uniformity_basis_edist_le'
added
theorem
uniformity_basis_edist_le
added
theorem
uniformity_basis_edist_nnreal
added
theorem
uniformity_basis_edist_nnreal_le
added
theorem
uniformity_dist_of_mem_uniformity
added
theorem
uniformity_edist
added
theorem
uniformity_pseudoedist
added
theorem
zero_eq_edist
Created
Mathlib/Topology/EMetricSpace/Diam.lean
added
theorem
EMetric.diam_ball
added
theorem
EMetric.diam_closedBall
added
theorem
EMetric.diam_empty
added
theorem
EMetric.diam_eq_sSup
added
theorem
EMetric.diam_eq_zero_iff
added
theorem
EMetric.diam_iUnion_mem_option
added
theorem
EMetric.diam_image_le_iff
added
theorem
EMetric.diam_insert
added
theorem
EMetric.diam_le
added
theorem
EMetric.diam_le_iff
added
theorem
EMetric.diam_mono
added
theorem
EMetric.diam_one
added
theorem
EMetric.diam_pair
added
theorem
EMetric.diam_pi_le_of_le
added
theorem
EMetric.diam_pos_iff'
added
theorem
EMetric.diam_pos_iff
added
theorem
EMetric.diam_singleton
added
theorem
EMetric.diam_subsingleton
added
theorem
EMetric.diam_triple
added
theorem
EMetric.diam_union'
added
theorem
EMetric.diam_union
added
theorem
EMetric.edist_le_diam_of_mem
added
theorem
EMetric.edist_le_of_diam_le
Modified
Mathlib/Topology/EMetricSpace/Lipschitz.lean
Modified
Mathlib/Topology/EMetricSpace/Paracompact.lean
Modified
Mathlib/Topology/Instances/Discrete.lean
Modified
Mathlib/Topology/Instances/ENNReal.lean
Modified
Mathlib/Topology/Instances/Int.lean
Modified
Mathlib/Topology/Instances/Nat.lean
Modified
Mathlib/Topology/Instances/RatLemmas.lean
Modified
Mathlib/Topology/Instances/Real.lean
Modified
Mathlib/Topology/MetricSpace/Basic.lean
deleted
theorem
Metric.closedBall_zero
deleted
theorem
Metric.sphere_zero
deleted
theorem
Metric.subsingleton_closedBall
deleted
theorem
Metric.subsingleton_sphere
deleted
theorem
MetricSpace.ext
deleted
def
MetricSpace.ofDistTopology
deleted
def
MetricSpace.replaceBornology
deleted
theorem
MetricSpace.replaceBornology_eq
deleted
theorem
MetricSpace.replaceTopology_eq
deleted
def
MetricSpace.replaceUniformity
deleted
theorem
MetricSpace.replaceUniformity_eq
deleted
theorem
dist_eq_zero
deleted
theorem
dist_le_zero
deleted
theorem
dist_ne_zero
deleted
theorem
dist_ofAdd
deleted
theorem
dist_ofDual
deleted
theorem
dist_ofMul
deleted
theorem
dist_pos
deleted
theorem
dist_toAdd
deleted
theorem
dist_toDual
deleted
theorem
dist_toMul
deleted
theorem
eq_of_dist_eq_zero
deleted
theorem
eq_of_forall_dist_le
deleted
theorem
eq_of_nndist_eq_zero
deleted
theorem
nndist_eq_zero
deleted
theorem
nndist_ofAdd
deleted
theorem
nndist_ofDual
deleted
theorem
nndist_ofMul
deleted
theorem
nndist_toAdd
deleted
theorem
nndist_toDual
deleted
theorem
nndist_toMul
deleted
theorem
zero_eq_dist
deleted
theorem
zero_eq_nndist
Modified
Mathlib/Topology/MetricSpace/Bounded.lean
Modified
Mathlib/Topology/MetricSpace/Cauchy.lean
Created
Mathlib/Topology/MetricSpace/Defs.lean
added
theorem
Metric.closedBall_zero
added
theorem
Metric.sphere_zero
added
theorem
Metric.subsingleton_closedBall
added
theorem
Metric.subsingleton_sphere
added
theorem
MetricSpace.ext
added
def
MetricSpace.ofDistTopology
added
def
MetricSpace.replaceBornology
added
theorem
MetricSpace.replaceBornology_eq
added
theorem
MetricSpace.replaceTopology_eq
added
def
MetricSpace.replaceUniformity
added
theorem
MetricSpace.replaceUniformity_eq
added
theorem
dist_eq_zero
added
theorem
dist_le_zero
added
theorem
dist_ne_zero
added
theorem
dist_ofAdd
added
theorem
dist_ofDual
added
theorem
dist_ofMul
added
theorem
dist_pos
added
theorem
dist_toAdd
added
theorem
dist_toDual
added
theorem
dist_toMul
added
theorem
eq_of_dist_eq_zero
added
theorem
eq_of_forall_dist_le
added
theorem
eq_of_nndist_eq_zero
added
theorem
nndist_eq_zero
added
theorem
nndist_ofAdd
added
theorem
nndist_ofDual
added
theorem
nndist_ofMul
added
theorem
nndist_toAdd
added
theorem
nndist_toDual
added
theorem
nndist_toMul
added
theorem
zero_eq_dist
added
theorem
zero_eq_nndist
Modified
Mathlib/Topology/MetricSpace/Equicontinuity.lean
Modified
Mathlib/Topology/MetricSpace/MetricSeparated.lean
Modified
Mathlib/Topology/MetricSpace/ProperSpace.lean
Created
Mathlib/Topology/MetricSpace/Pseudo/Basic.lean
added
theorem
IsCompact.isSeparable
added
theorem
Metric.controlled_of_uniformEmbedding
added
theorem
Metric.exists_ball_inter_eq_singleton_of_mem_discrete
added
theorem
Metric.exists_closedBall_inter_eq_singleton_of_discrete
added
theorem
Metric.finite_approx_of_totallyBounded
added
theorem
Metric.inseparable_iff
added
theorem
Metric.secondCountable_of_almost_dense_set
added
theorem
Metric.tendstoLocallyUniformlyOn_iff
added
theorem
Metric.tendstoLocallyUniformly_iff
added
theorem
Metric.tendstoUniformlyOnFilter_iff
added
theorem
Metric.tendstoUniformlyOn_iff
added
theorem
Metric.tendstoUniformly_iff
added
theorem
Metric.totallyBounded_iff
added
theorem
Metric.totallyBounded_of_finite_discretization
added
theorem
cauchySeq_iff_tendsto_dist_atTop_0
added
theorem
dist_le_Ico_sum_dist
added
theorem
dist_le_Ico_sum_of_dist_le
added
theorem
dist_le_range_sum_dist
added
theorem
dist_le_range_sum_of_dist_le
Modified
Mathlib/Topology/MetricSpace/Pseudo/Constructions.lean
deleted
theorem
Fin.dist_insertNth_insertNth
deleted
theorem
Fin.nndist_insertNth_insertNth
deleted
theorem
ball_pi'
deleted
theorem
ball_pi
deleted
theorem
closedBall_pi'
deleted
theorem
closedBall_pi
deleted
theorem
dist_le_pi_dist
deleted
theorem
dist_pi_const
deleted
theorem
dist_pi_const_le
deleted
theorem
dist_pi_def
deleted
theorem
dist_pi_eq_iff
deleted
theorem
dist_pi_le_iff'
deleted
theorem
dist_pi_le_iff
deleted
theorem
dist_pi_lt_iff
deleted
theorem
nndist_le_pi_nndist
deleted
theorem
nndist_pi_const
deleted
theorem
nndist_pi_const_le
deleted
theorem
nndist_pi_def
deleted
theorem
nndist_pi_eq_iff
deleted
theorem
nndist_pi_le_iff
deleted
theorem
nndist_pi_lt_iff
deleted
theorem
sphere_pi
Modified
Mathlib/Topology/MetricSpace/Pseudo/Defs.lean
deleted
theorem
IsCompact.isSeparable
deleted
theorem
Metric.controlled_of_uniformEmbedding
deleted
theorem
Metric.exists_ball_inter_eq_singleton_of_mem_discrete
deleted
theorem
Metric.exists_closedBall_inter_eq_singleton_of_discrete
deleted
theorem
Metric.finite_approx_of_totallyBounded
deleted
theorem
Metric.inseparable_iff
deleted
theorem
Metric.secondCountable_of_almost_dense_set
deleted
theorem
Metric.tendstoLocallyUniformlyOn_iff
deleted
theorem
Metric.tendstoLocallyUniformly_iff
deleted
theorem
Metric.tendstoUniformlyOnFilter_iff
deleted
theorem
Metric.tendstoUniformlyOn_iff
deleted
theorem
Metric.tendstoUniformly_iff
deleted
theorem
Metric.totallyBounded_iff
deleted
theorem
Metric.totallyBounded_of_finite_discretization
deleted
theorem
cauchySeq_iff_tendsto_dist_atTop_0
deleted
theorem
dist_le_Ico_sum_dist
deleted
theorem
dist_le_Ico_sum_of_dist_le
deleted
theorem
dist_le_range_sum_dist
deleted
theorem
dist_le_range_sum_of_dist_le
Modified
Mathlib/Topology/MetricSpace/Pseudo/Lemmas.lean
deleted
theorem
Real.dist_le_of_mem_Icc
deleted
theorem
Real.dist_le_of_mem_Icc_01
deleted
theorem
Real.dist_le_of_mem_pi_Icc
deleted
theorem
Real.dist_le_of_mem_uIcc
deleted
theorem
Real.dist_left_le_of_mem_uIcc
deleted
theorem
Real.dist_right_le_of_mem_uIcc
Created
Mathlib/Topology/MetricSpace/Pseudo/Pi.lean
added
theorem
Fin.dist_insertNth_insertNth
added
theorem
Fin.nndist_insertNth_insertNth
added
theorem
ball_pi'
added
theorem
ball_pi
added
theorem
closedBall_pi'
added
theorem
closedBall_pi
added
theorem
dist_le_pi_dist
added
theorem
dist_pi_const
added
theorem
dist_pi_const_le
added
theorem
dist_pi_def
added
theorem
dist_pi_eq_iff
added
theorem
dist_pi_le_iff'
added
theorem
dist_pi_le_iff
added
theorem
dist_pi_lt_iff
added
theorem
nndist_le_pi_nndist
added
theorem
nndist_pi_const
added
theorem
nndist_pi_const_le
added
theorem
nndist_pi_def
added
theorem
nndist_pi_eq_iff
added
theorem
nndist_pi_le_iff
added
theorem
nndist_pi_lt_iff
added
theorem
sphere_pi
Created
Mathlib/Topology/MetricSpace/Pseudo/Real.lean
added
theorem
Real.dist_le_of_mem_Icc
added
theorem
Real.dist_le_of_mem_Icc_01
added
theorem
Real.dist_le_of_mem_pi_Icc
added
theorem
Real.dist_le_of_mem_uIcc
added
theorem
Real.dist_left_le_of_mem_uIcc
added
theorem
Real.dist_right_le_of_mem_uIcc
Modified
Mathlib/Topology/Metrizable/Uniformity.lean