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core / init.default

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Imports

init.cc_lemmas
init.classical
init.coe
init.control.combinators
init.core
init.function
init.funext
init.logic
init.meta.feature_search
init.meta.float
init.meta.well_founded_tactics
init.propext
init.util
init.version
init.wf

Imported by

data.buffer
data.buffer.parser
data.dlist
system.io
system.io_interface
system.random
algebra.abs
algebra.add_torsor
algebra.algebra.basic
algebra.algebra.bilinear
algebra.algebra.operations
algebra.algebra.restrict_scalars
algebra.algebra.spectrum
algebra.algebra.subalgebra.basic
algebra.algebra.subalgebra.pointwise
algebra.algebra.tower
algebra.algebra.unitization
algebra.algebraic_card
algebra.associated
algebra.big_operators.associated
algebra.big_operators.basic
algebra.big_operators.enat
algebra.big_operators.fin
algebra.big_operators.finprod
algebra.big_operators.finsupp
algebra.big_operators.intervals
algebra.big_operators.multiset
algebra.big_operators.nat_antidiagonal
algebra.big_operators.norm_num
algebra.big_operators.option
algebra.big_operators.order
algebra.big_operators.pi
algebra.big_operators.ring
algebra.bounds
algebra.category.Algebra.basic
algebra.category.Algebra.limits
algebra.category.BoolRing
algebra.category.FinVect
algebra.category.FinVect.limits
algebra.category.Group.Z_Module_equivalence
algebra.category.Group.abelian
algebra.category.Group.adjunctions
algebra.category.Group.basic
algebra.category.Group.biproducts
algebra.category.Group.colimits
algebra.category.Group.filtered_colimits
algebra.category.Group.images
algebra.category.Group.limits
algebra.category.Group.preadditive
algebra.category.Group.subobject
algebra.category.Group.zero
algebra.category.GroupWithZero
algebra.category.Module.abelian
algebra.category.Module.adjunctions
algebra.category.Module.basic
algebra.category.Module.biproducts
algebra.category.Module.colimits
algebra.category.Module.epi_mono
algebra.category.Module.filtered_colimits
algebra.category.Module.images
algebra.category.Module.kernels
algebra.category.Module.limits
algebra.category.Module.monoidal
algebra.category.Module.products
algebra.category.Module.projective
algebra.category.Module.simple
algebra.category.Module.subobject
algebra.category.Mon.adjunctions
algebra.category.Mon.basic
algebra.category.Mon.colimits
algebra.category.Mon.filtered_colimits
algebra.category.Mon.limits
algebra.category.Ring.adjunctions
algebra.category.Ring.basic
algebra.category.Ring.colimits
algebra.category.Ring.constructions
algebra.category.Ring.filtered_colimits
algebra.category.Ring.instances
algebra.category.Ring.limits
algebra.category.Semigroup.basic
algebra.char_p.algebra
algebra.char_p.basic
algebra.char_p.exp_char
algebra.char_p.invertible
algebra.char_p.pi
algebra.char_p.quotient
algebra.char_p.subring
algebra.char_p.two
algebra.char_zero
algebra.continued_fractions.basic
algebra.continued_fractions.computation.approximation_corollaries
algebra.continued_fractions.computation.approximations
algebra.continued_fractions.computation.basic
algebra.continued_fractions.computation.correctness_terminating
algebra.continued_fractions.computation.default
algebra.continued_fractions.computation.terminates_iff_rat
algebra.continued_fractions.computation.translations
algebra.continued_fractions.continuants_recurrence
algebra.continued_fractions.convergents_equiv
algebra.continued_fractions.default
algebra.continued_fractions.terminated_stable
algebra.continued_fractions.translations
algebra.covariant_and_contravariant
algebra.cubic_discriminant
algebra.direct_limit
algebra.direct_sum.algebra
algebra.direct_sum.basic
algebra.direct_sum.finsupp
algebra.direct_sum.internal
algebra.direct_sum.module
algebra.direct_sum.ring
algebra.divisibility
algebra.dual_number
algebra.euclidean_domain
algebra.field.basic
algebra.field.opposite
algebra.field_power
algebra.free
algebra.free_algebra
algebra.free_monoid
algebra.free_non_unital_non_assoc_algebra
algebra.gcd_monoid.basic
algebra.gcd_monoid.finset
algebra.gcd_monoid.multiset
algebra.gcd_monoid.nat
algebra.geom_sum
algebra.graded_monoid
algebra.group.basic
algebra.group.commute
algebra.group.conj
algebra.group.default
algebra.group.defs
algebra.group.ext
algebra.group.inj_surj
algebra.group.opposite
algebra.group.pi
algebra.group.prod
algebra.group.semiconj
algebra.group.to_additive
algebra.group.type_tags
algebra.group.ulift
algebra.group.units
algebra.group.with_one
algebra.group_power.basic
algebra.group_power.identities
algebra.group_power.lemmas
algebra.group_power.order
algebra.group_ring_action
algebra.group_with_zero.basic
algebra.group_with_zero.defs
algebra.group_with_zero.power
algebra.hierarchy_design
algebra.hom.aut
algebra.hom.equiv
algebra.hom.freiman
algebra.hom.group
algebra.hom.group_action
algebra.hom.group_instances
algebra.hom.iterate
algebra.hom.non_unital_alg
algebra.hom.ring
algebra.hom.units
algebra.homology.Module
algebra.homology.additive
algebra.homology.augment
algebra.homology.complex_shape
algebra.homology.differential_object
algebra.homology.exact
algebra.homology.flip
algebra.homology.functor
algebra.homology.homological_complex
algebra.homology.homology
algebra.homology.homotopy
algebra.homology.homotopy_category
algebra.homology.image_to_kernel
algebra.homology.quasi_iso
algebra.homology.short_exact.abelian
algebra.homology.short_exact.preadditive
algebra.homology.single
algebra.indicator_function
algebra.invertible
algebra.is_prime_pow
algebra.lie.abelian
algebra.lie.base_change
algebra.lie.basic
algebra.lie.cartan_matrix
algebra.lie.cartan_subalgebra
algebra.lie.character
algebra.lie.classical
algebra.lie.direct_sum
algebra.lie.engel
algebra.lie.free
algebra.lie.ideal_operations
algebra.lie.matrix
algebra.lie.nilpotent
algebra.lie.non_unital_non_assoc_algebra
algebra.lie.of_associative
algebra.lie.quotient
algebra.lie.semisimple
algebra.lie.skew_adjoint
algebra.lie.solvable
algebra.lie.subalgebra
algebra.lie.submodule
algebra.lie.tensor_product
algebra.lie.universal_enveloping
algebra.lie.weights
algebra.linear_recurrence
algebra.module.algebra
algebra.module.basic
algebra.module.default
algebra.module.equiv
algebra.module.hom
algebra.module.linear_map
algebra.module.opposites
algebra.module.pi
algebra.module.pointwise_pi
algebra.module.prod
algebra.module.projective
algebra.module.submodule.basic
algebra.module.submodule.bilinear
algebra.module.submodule.lattice
algebra.module.submodule.pointwise
algebra.module.torsion
algebra.module.ulift
algebra.monoid_algebra.basic
algebra.monoid_algebra.grading
algebra.monoid_algebra.to_direct_sum
algebra.ne_zero
algebra.opposites
algebra.order.absolute_value
algebra.order.algebra
algebra.order.archimedean
algebra.order.euclidean_absolute_value
algebra.order.field
algebra.order.floor
algebra.order.group
algebra.order.hom.monoid
algebra.order.hom.ring
algebra.order.invertible
algebra.order.lattice_group
algebra.order.module
algebra.order.monoid
algebra.order.monoid_lemmas
algebra.order.monoid_lemmas_zero_lt
algebra.order.nonneg
algebra.order.pi
algebra.order.pointwise
algebra.order.rearrangement
algebra.order.ring
algebra.order.smul
algebra.order.sub
algebra.order.with_zero
algebra.parity
algebra.pempty_instances
algebra.periodic
algebra.polynomial.big_operators
algebra.polynomial.group_ring_action
algebra.punit_instances
algebra.quadratic_discriminant
algebra.quandle
algebra.quaternion
algebra.quaternion_basis
algebra.quotient
algebra.regular.basic
algebra.regular.pow
algebra.regular.smul
algebra.ring.aut
algebra.ring.basic
algebra.ring.boolean_ring
algebra.ring.comp_typeclasses
algebra.ring.default
algebra.ring.equiv
algebra.ring.idempotents
algebra.ring.opposite
algebra.ring.pi
algebra.ring.prod
algebra.ring.ulift
algebra.ring_quot
algebra.smul_with_zero
algebra.squarefree
algebra.star.basic
algebra.star.chsh
algebra.star.free
algebra.star.module
algebra.star.pi
algebra.star.pointwise
algebra.star.prod
algebra.star.self_adjoint
algebra.star.subalgebra
algebra.star.unitary
algebra.support
algebra.symmetrized
algebra.triv_sq_zero_ext
algebra.tropical.basic
algebra.tropical.big_operators
algebra.tropical.lattice
algebraic_geometry.AffineScheme
algebraic_geometry.EllipticCurve
algebraic_geometry.Gamma_Spec_adjunction
algebraic_geometry.Scheme
algebraic_geometry.Spec
algebraic_geometry.function_field
algebraic_geometry.gluing
algebraic_geometry.locally_ringed_space
algebraic_geometry.locally_ringed_space.has_colimits
algebraic_geometry.open_immersion
algebraic_geometry.presheafed_space
algebraic_geometry.presheafed_space.gluing
algebraic_geometry.presheafed_space.has_colimits
algebraic_geometry.prime_spectrum.basic
algebraic_geometry.prime_spectrum.is_open_comap_C
algebraic_geometry.prime_spectrum.noetherian
algebraic_geometry.projective_spectrum.scheme
algebraic_geometry.projective_spectrum.structure_sheaf
algebraic_geometry.projective_spectrum.topology
algebraic_geometry.properties
algebraic_geometry.pullbacks
algebraic_geometry.ringed_space
algebraic_geometry.sheafed_space
algebraic_geometry.stalks
algebraic_geometry.structure_sheaf
algebraic_topology.Moore_complex
algebraic_topology.alternating_face_map_complex
algebraic_topology.cech_nerve
algebraic_topology.dold_kan.homotopies
algebraic_topology.dold_kan.notations
algebraic_topology.fundamental_groupoid.basic
algebraic_topology.fundamental_groupoid.fundamental_group
algebraic_topology.fundamental_groupoid.induced_maps
algebraic_topology.fundamental_groupoid.product
algebraic_topology.fundamental_groupoid.punit
algebraic_topology.simplex_category
algebraic_topology.simplicial_object
algebraic_topology.simplicial_set
algebraic_topology.topological_simplex
analysis.ODE.gronwall
analysis.ODE.picard_lindelof
analysis.analytic.basic
analysis.analytic.composition
analysis.analytic.inverse
analysis.analytic.linear
analysis.analytic.radius_liminf
analysis.asymptotics.asymptotic_equivalent
analysis.asymptotics.asymptotics
analysis.asymptotics.specific_asymptotics
analysis.asymptotics.superpolynomial_decay
analysis.box_integral.basic
analysis.box_integral.box.basic
analysis.box_integral.box.subbox_induction
analysis.box_integral.divergence_theorem
analysis.box_integral.integrability
analysis.box_integral.partition.additive
analysis.box_integral.partition.basic
analysis.box_integral.partition.filter
analysis.box_integral.partition.measure
analysis.box_integral.partition.split
analysis.box_integral.partition.subbox_induction
analysis.box_integral.partition.tagged
analysis.calculus.affine_map
analysis.calculus.conformal.inner_product
analysis.calculus.conformal.normed_space
analysis.calculus.cont_diff
analysis.calculus.darboux
analysis.calculus.deriv
analysis.calculus.diff_on_int_cont
analysis.calculus.dslope
analysis.calculus.extend_deriv
analysis.calculus.fderiv
analysis.calculus.fderiv_analytic
analysis.calculus.fderiv_measurable
analysis.calculus.fderiv_symmetric
analysis.calculus.formal_multilinear_series
analysis.calculus.implicit
analysis.calculus.inverse
analysis.calculus.iterated_deriv
analysis.calculus.lagrange_multipliers
analysis.calculus.lhopital
analysis.calculus.local_extr
analysis.calculus.mean_value
analysis.calculus.parametric_integral
analysis.calculus.parametric_interval_integral
analysis.calculus.specific_functions
analysis.calculus.tangent_cone
analysis.complex.abs_max
analysis.complex.arg
analysis.complex.basic
analysis.complex.cauchy_integral
analysis.complex.circle
analysis.complex.conformal
analysis.complex.isometry
analysis.complex.liouville
analysis.complex.polynomial
analysis.complex.re_im_topology
analysis.complex.real_deriv
analysis.complex.removable_singularity
analysis.complex.roots_of_unity
analysis.complex.schwarz
analysis.complex.upper_half_plane
analysis.convex.basic
analysis.convex.caratheodory
analysis.convex.combination
analysis.convex.complex
analysis.convex.cone
analysis.convex.exposed
analysis.convex.extrema
analysis.convex.extreme
analysis.convex.function
analysis.convex.gauge
analysis.convex.hull
analysis.convex.independent
analysis.convex.integral
analysis.convex.jensen
analysis.convex.measure
analysis.convex.quasiconvex
analysis.convex.simplicial_complex.basic
analysis.convex.slope
analysis.convex.specific_functions
analysis.convex.star
analysis.convex.strict
analysis.convex.strict_convex_space
analysis.convex.topology
analysis.fourier
analysis.hofer
analysis.inner_product_space.adjoint
analysis.inner_product_space.basic
analysis.inner_product_space.calculus
analysis.inner_product_space.conformal_linear_map
analysis.inner_product_space.dual
analysis.inner_product_space.euclidean_dist
analysis.inner_product_space.gram_schmidt_ortho
analysis.inner_product_space.l2_space
analysis.inner_product_space.lax_milgram
analysis.inner_product_space.orientation
analysis.inner_product_space.pi_L2
analysis.inner_product_space.projection
analysis.inner_product_space.rayleigh
analysis.inner_product_space.spectrum
analysis.locally_convex.balanced_core_hull
analysis.locally_convex.basic
analysis.locally_convex.bounded
analysis.locally_convex.polar
analysis.locally_convex.weak_dual
analysis.locally_convex.with_seminorms
analysis.matrix
analysis.mean_inequalities
analysis.mean_inequalities_pow
analysis.normed.group.SemiNormedGroup
analysis.normed.group.SemiNormedGroup.completion
analysis.normed.group.SemiNormedGroup.kernels
analysis.normed.group.add_torsor
analysis.normed.group.basic
analysis.normed.group.completion
analysis.normed.group.hom
analysis.normed.group.hom_completion
analysis.normed.group.infinite_sum
analysis.normed.group.pointwise
analysis.normed.group.quotient
analysis.normed.normed_field
analysis.normed_space.add_torsor
analysis.normed_space.add_torsor_bases
analysis.normed_space.affine_isometry
analysis.normed_space.banach
analysis.normed_space.banach_steinhaus
analysis.normed_space.basic
analysis.normed_space.bounded_linear_maps
analysis.normed_space.complemented
analysis.normed_space.completion
analysis.normed_space.conformal_linear_map
analysis.normed_space.continuous_affine_map
analysis.normed_space.dual
analysis.normed_space.enorm
analysis.normed_space.exponential
analysis.normed_space.extend
analysis.normed_space.finite_dimension
analysis.normed_space.hahn_banach
analysis.normed_space.indicator_function
analysis.normed_space.int
analysis.normed_space.is_R_or_C
analysis.normed_space.lattice_ordered_group
analysis.normed_space.linear_isometry
analysis.normed_space.lp_space
analysis.normed_space.matrix_exponential
analysis.normed_space.mazur_ulam
analysis.normed_space.multilinear
analysis.normed_space.operator_norm
analysis.normed_space.ordered
analysis.normed_space.pi_Lp
analysis.normed_space.pointwise
analysis.normed_space.ray
analysis.normed_space.riesz_lemma
analysis.normed_space.spectrum
analysis.normed_space.star.basic
analysis.normed_space.star.complex
analysis.normed_space.star.exponential
analysis.normed_space.star.matrix
analysis.normed_space.star.spectrum
analysis.normed_space.units
analysis.normed_space.weak_dual
analysis.p_series
analysis.quaternion
analysis.seminorm
analysis.special_functions.arsinh
analysis.special_functions.bernstein
analysis.special_functions.complex.arg
analysis.special_functions.complex.circle
analysis.special_functions.complex.log
analysis.special_functions.complex.log_deriv
analysis.special_functions.exp
analysis.special_functions.exp_deriv
analysis.special_functions.exponential
analysis.special_functions.gamma
analysis.special_functions.integrals
analysis.special_functions.log.base
analysis.special_functions.log.basic
analysis.special_functions.log.deriv
analysis.special_functions.log.monotone
analysis.special_functions.non_integrable
analysis.special_functions.polynomials
analysis.special_functions.pow
analysis.special_functions.pow_deriv
analysis.special_functions.sqrt
analysis.special_functions.trigonometric.angle
analysis.special_functions.trigonometric.arctan
analysis.special_functions.trigonometric.arctan_deriv
analysis.special_functions.trigonometric.basic
analysis.special_functions.trigonometric.bounds
analysis.special_functions.trigonometric.chebyshev
analysis.special_functions.trigonometric.complex
analysis.special_functions.trigonometric.complex_deriv
analysis.special_functions.trigonometric.deriv
analysis.special_functions.trigonometric.inverse
analysis.special_functions.trigonometric.inverse_deriv
analysis.specific_limits.basic
analysis.specific_limits.floor_pow
analysis.specific_limits.normed
analysis.subadditive
analysis.von_neumann_algebra.basic
category_theory.Fintype
category_theory.abelian.basic
category_theory.abelian.diagram_lemmas.four
category_theory.abelian.exact
category_theory.abelian.ext
category_theory.abelian.functor_category
category_theory.abelian.homology
category_theory.abelian.images
category_theory.abelian.injective_resolution
category_theory.abelian.left_derived
category_theory.abelian.non_preadditive
category_theory.abelian.opposite
category_theory.abelian.projective
category_theory.abelian.pseudoelements
category_theory.abelian.right_derived
category_theory.abelian.transfer
category_theory.action
category_theory.additive.basic
category_theory.adjunction.adjoint_functor_theorems
category_theory.adjunction.basic
category_theory.adjunction.comma
category_theory.adjunction.evaluation
category_theory.adjunction.fully_faithful
category_theory.adjunction.lifting
category_theory.adjunction.limits
category_theory.adjunction.mates
category_theory.adjunction.opposites
category_theory.adjunction.over
category_theory.adjunction.reflective
category_theory.adjunction.whiskering
category_theory.arrow
category_theory.balanced
category_theory.bicategory.End
category_theory.bicategory.basic
category_theory.bicategory.coherence
category_theory.bicategory.coherence_tactic
category_theory.bicategory.free
category_theory.bicategory.functor
category_theory.bicategory.functor_bicategory
category_theory.bicategory.locally_discrete
category_theory.bicategory.natural_transformation
category_theory.bicategory.single_obj
category_theory.bicategory.strict
category_theory.category.Bipointed
category_theory.category.Cat
category_theory.category.Cat.limit
category_theory.category.Groupoid
category_theory.category.Kleisli
category_theory.category.PartialFun
category_theory.category.Pointed
category_theory.category.Quiv
category_theory.category.Rel
category_theory.category.Twop
category_theory.category.basic
category_theory.category.pairwise
category_theory.category.preorder
category_theory.category.ulift
category_theory.closed.cartesian
category_theory.closed.functor
category_theory.closed.ideal
category_theory.closed.monoidal
category_theory.closed.types
category_theory.closed.zero
category_theory.comma
category_theory.concrete_category.basic
category_theory.concrete_category.bundled
category_theory.concrete_category.bundled_hom
category_theory.concrete_category.elementwise
category_theory.concrete_category.reflects_isomorphisms
category_theory.concrete_category.unbundled_hom
category_theory.conj
category_theory.connected_components
category_theory.core
category_theory.differential_object
category_theory.discrete_category
category_theory.elements
category_theory.elementwise
category_theory.endofunctor.algebra
category_theory.endomorphism
category_theory.enriched.basic
category_theory.epi_mono
category_theory.eq_to_hom
category_theory.equivalence
category_theory.essential_image
category_theory.essentially_small
category_theory.filtered
category_theory.fin_category
category_theory.full_subcategory
category_theory.functor.basic
category_theory.functor.category
category_theory.functor.const
category_theory.functor.currying
category_theory.functor.flat
category_theory.functor.fully_faithful
category_theory.functor.functorial
category_theory.functor.hom
category_theory.functor.left_derived
category_theory.functor.reflects_isomorphisms
category_theory.generator
category_theory.glue_data
category_theory.graded_object
category_theory.grothendieck
category_theory.groupoid
category_theory.idempotents.basic
category_theory.idempotents.biproducts
category_theory.idempotents.functor_categories
category_theory.idempotents.karoubi
category_theory.idempotents.karoubi_karoubi
category_theory.idempotents.simplicial_object
category_theory.is_connected
category_theory.isomorphism
category_theory.isomorphism_classes
category_theory.lifting_properties
category_theory.limits.bicones
category_theory.limits.colimit_limit
category_theory.limits.comma
category_theory.limits.concrete_category
category_theory.limits.cone_category
category_theory.limits.cones
category_theory.limits.connected
category_theory.limits.constructions.binary_products
category_theory.limits.constructions.epi_mono
category_theory.limits.constructions.equalizers
category_theory.limits.constructions.finite_products_of_binary_products
category_theory.limits.constructions.limits_of_products_and_equalizers
category_theory.limits.constructions.over.connected
category_theory.limits.constructions.over.default
category_theory.limits.constructions.over.products
category_theory.limits.constructions.pullbacks
category_theory.limits.constructions.weakly_initial
category_theory.limits.creates
category_theory.limits.filtered_colimit_commutes_finite_limit
category_theory.limits.final
category_theory.limits.fubini
category_theory.limits.functor_category
category_theory.limits.has_limits
category_theory.limits.is_limit
category_theory.limits.kan_extension
category_theory.limits.lattice
category_theory.limits.opposites
category_theory.limits.over
category_theory.limits.pi
category_theory.limits.preserves.basic
category_theory.limits.preserves.filtered
category_theory.limits.preserves.finite
category_theory.limits.preserves.functor_category
category_theory.limits.preserves.limits
category_theory.limits.preserves.opposites
category_theory.limits.preserves.shapes.binary_products
category_theory.limits.preserves.shapes.biproducts
category_theory.limits.preserves.shapes.equalizers
category_theory.limits.preserves.shapes.kernels
category_theory.limits.preserves.shapes.products
category_theory.limits.preserves.shapes.pullbacks
category_theory.limits.preserves.shapes.terminal
category_theory.limits.preserves.shapes.zero
category_theory.limits.presheaf
category_theory.limits.punit
category_theory.limits.shapes.binary_products
category_theory.limits.shapes.biproducts
category_theory.limits.shapes.concrete_category
category_theory.limits.shapes.disjoint_coproduct
category_theory.limits.shapes.equalizers
category_theory.limits.shapes.finite_limits
category_theory.limits.shapes.finite_products
category_theory.limits.shapes.functor_category
category_theory.limits.shapes.images
category_theory.limits.shapes.kernel_pair
category_theory.limits.shapes.kernels
category_theory.limits.shapes.multiequalizer
category_theory.limits.shapes.normal_mono.basic
category_theory.limits.shapes.normal_mono.equalizers
category_theory.limits.shapes.products
category_theory.limits.shapes.pullbacks
category_theory.limits.shapes.reflexive
category_theory.limits.shapes.regular_mono
category_theory.limits.shapes.split_coequalizer
category_theory.limits.shapes.strict_initial
category_theory.limits.shapes.strong_epi
category_theory.limits.shapes.terminal
category_theory.limits.shapes.types
category_theory.limits.shapes.wide_equalizers
category_theory.limits.shapes.wide_pullbacks
category_theory.limits.shapes.zero_morphisms
category_theory.limits.shapes.zero_objects
category_theory.limits.small_complete
category_theory.limits.types
category_theory.limits.yoneda
category_theory.linear.default
category_theory.linear.functor_category
category_theory.linear.linear_functor
category_theory.linear.yoneda
category_theory.monad.adjunction
category_theory.monad.algebra
category_theory.monad.basic
category_theory.monad.coequalizer
category_theory.monad.equiv_mon
category_theory.monad.kleisli
category_theory.monad.limits
category_theory.monad.monadicity
category_theory.monad.products
category_theory.monad.types
category_theory.monoidal.CommMon_
category_theory.monoidal.End
category_theory.monoidal.Mod
category_theory.monoidal.Mon_
category_theory.monoidal.braided
category_theory.monoidal.category
category_theory.monoidal.center
category_theory.monoidal.coherence
category_theory.monoidal.coherence_lemmas
category_theory.monoidal.discrete
category_theory.monoidal.free.basic
category_theory.monoidal.free.coherence
category_theory.monoidal.functor
category_theory.monoidal.functor_category
category_theory.monoidal.functorial
category_theory.monoidal.internal.Module
category_theory.monoidal.internal.functor_category
category_theory.monoidal.internal.limits
category_theory.monoidal.internal.types
category_theory.monoidal.limits
category_theory.monoidal.linear
category_theory.monoidal.natural_transformation
category_theory.monoidal.of_chosen_finite_products
category_theory.monoidal.of_has_finite_products
category_theory.monoidal.opposite
category_theory.monoidal.preadditive
category_theory.monoidal.rigid.basic
category_theory.monoidal.rigid.functor_category
category_theory.monoidal.rigid.of_equivalence
category_theory.monoidal.skeleton
category_theory.monoidal.tor
category_theory.monoidal.transport
category_theory.monoidal.types
category_theory.natural_isomorphism
category_theory.natural_transformation
category_theory.noetherian
category_theory.opposites
category_theory.over
category_theory.path_category
category_theory.pempty
category_theory.pi.basic
category_theory.preadditive.Mat
category_theory.preadditive.additive_functor
category_theory.preadditive.biproducts
category_theory.preadditive.default
category_theory.preadditive.functor_category
category_theory.preadditive.generator
category_theory.preadditive.injective
category_theory.preadditive.injective_resolution
category_theory.preadditive.opposite
category_theory.preadditive.projective
category_theory.preadditive.projective_resolution
category_theory.preadditive.schur
category_theory.preadditive.single_obj
category_theory.preadditive.yoneda
category_theory.products.associator
category_theory.products.basic
category_theory.products.bifunctor
category_theory.punit
category_theory.quotient
category_theory.shift
category_theory.sigma.basic
category_theory.simple
category_theory.single_obj
category_theory.sites.adjunction
category_theory.sites.canonical
category_theory.sites.closed
category_theory.sites.compatible_plus
category_theory.sites.compatible_sheafification
category_theory.sites.cover_lifting
category_theory.sites.cover_preserving
category_theory.sites.dense_subsite
category_theory.sites.grothendieck
category_theory.sites.induced_topology
category_theory.sites.left_exact
category_theory.sites.limits
category_theory.sites.plus
category_theory.sites.pretopology
category_theory.sites.sheaf
category_theory.sites.sheaf_of_types
category_theory.sites.sheafification
category_theory.sites.sieves
category_theory.sites.spaces
category_theory.sites.types
category_theory.sites.whiskering
category_theory.skeletal
category_theory.structured_arrow
category_theory.subobject.basic
category_theory.subobject.factor_thru
category_theory.subobject.lattice
category_theory.subobject.limits
category_theory.subobject.mono_over
category_theory.subobject.types
category_theory.subobject.well_powered
category_theory.subterminal
category_theory.sums.associator
category_theory.sums.basic
category_theory.thin
category_theory.triangulated.basic
category_theory.triangulated.pretriangulated
category_theory.triangulated.rotate
category_theory.types
category_theory.whiskering
category_theory.with_terminal
category_theory.yoneda
combinatorics.additive.salem_spencer
combinatorics.colex
combinatorics.composition
combinatorics.configuration
combinatorics.derangements.basic
combinatorics.derangements.exponential
combinatorics.derangements.finite
combinatorics.double_counting
combinatorics.hales_jewett
combinatorics.hall.basic
combinatorics.hall.finite
combinatorics.hindman
combinatorics.partition
combinatorics.pigeonhole
combinatorics.quiver.arborescence
combinatorics.quiver.basic
combinatorics.quiver.connected_component
combinatorics.quiver.path
combinatorics.quiver.subquiver
combinatorics.set_family.compression.uv
combinatorics.set_family.lym
combinatorics.set_family.shadow
combinatorics.simple_graph.adj_matrix
combinatorics.simple_graph.basic
combinatorics.simple_graph.clique
combinatorics.simple_graph.coloring
combinatorics.simple_graph.connectivity
combinatorics.simple_graph.degree_sum
combinatorics.simple_graph.density
combinatorics.simple_graph.hasse
combinatorics.simple_graph.inc_matrix
combinatorics.simple_graph.matching
combinatorics.simple_graph.metric
combinatorics.simple_graph.partition
combinatorics.simple_graph.regularity.bound
combinatorics.simple_graph.regularity.energy
combinatorics.simple_graph.regularity.uniform
combinatorics.simple_graph.strongly_regular
combinatorics.simple_graph.subgraph
computability.DFA
computability.NFA
computability.encoding
computability.epsilon_NFA
computability.halting
computability.language
computability.partrec
computability.partrec_code
computability.primrec
computability.reduce
computability.regular_expressions
computability.tm_computable
computability.tm_to_partrec
computability.turing_machine
control.applicative
control.basic
control.bifunctor
control.bitraversable.basic
control.bitraversable.instances
control.bitraversable.lemmas
control.equiv_functor
control.equiv_functor.instances
control.fix
control.fold
control.functor
control.functor.multivariate
control.lawful_fix
control.monad.basic
control.monad.cont
control.monad.writer
control.random
control.traversable.basic
control.traversable.derive
control.traversable.equiv
control.traversable.instances
control.traversable.lemmas
control.ulift
control.uliftable
data.W.basic
data.W.cardinal
data.W.constructions
data.analysis.filter
data.analysis.topology
data.array.lemmas
data.bitvec.basic
data.bitvec.core
data.bool.all_any
data.bool.basic
data.bool.set
data.bracket
data.buffer.basic
data.buffer.parser.basic
data.buffer.parser.numeral
data.bundle
data.char
data.complex.basic
data.complex.cardinality
data.complex.determinant
data.complex.exponential
data.complex.exponential_bounds
data.complex.is_R_or_C
data.complex.module
data.dfinsupp.basic
data.dfinsupp.interval
data.dfinsupp.order
data.dlist.basic
data.dlist.instances
data.erased
data.fin.basic
data.fin.fin2
data.fin.interval
data.fin.succ_pred
data.fin.tuple.basic
data.fin.tuple.nat_antidiagonal
data.fin.tuple.sort
data.fin.vec_notation
data.fin_enum
data.finmap
data.finset.basic
data.finset.card
data.finset.fin
data.finset.finsupp
data.finset.fold
data.finset.functor
data.finset.interval
data.finset.lattice
data.finset.locally_finite
data.finset.n_ary
data.finset.nat_antidiagonal
data.finset.noncomm_prod
data.finset.option
data.finset.order
data.finset.pairwise
data.finset.pi
data.finset.pi_induction
data.finset.pimage
data.finset.pointwise
data.finset.powerset
data.finset.preimage
data.finset.prod
data.finset.sigma
data.finset.slice
data.finset.sort
data.finset.sum
data.finset.sym
data.finsupp.antidiagonal
data.finsupp.basic
data.finsupp.default
data.finsupp.fin
data.finsupp.indicator
data.finsupp.interval
data.finsupp.multiset
data.finsupp.order
data.finsupp.pointwise
data.finsupp.pwo
data.finsupp.to_dfinsupp
data.fintype.basic
data.fintype.card
data.fintype.card_embedding
data.fintype.fin
data.fintype.list
data.fintype.order
data.fintype.small
data.fintype.sort
data.fp.basic
data.fun_like.basic
data.fun_like.embedding
data.fun_like.equiv
data.hash_map
data.holor
data.int.absolute_value
data.int.basic
data.int.cast
data.int.char_zero
data.int.gcd
data.int.interval
data.int.least_greatest
data.int.modeq
data.int.nat_prime
data.int.order
data.int.parity
data.int.range
data.int.sqrt
data.int.succ_pred
data.lazy_list
data.lazy_list.basic
data.list.alist
data.list.basic
data.list.big_operators
data.list.chain
data.list.count
data.list.cycle
data.list.dedup
data.list.defs
data.list.destutter
data.list.duplicate
data.list.forall2
data.list.func
data.list.indexes
data.list.infix
data.list.intervals
data.list.join
data.list.lattice
data.list.lex
data.list.min_max
data.list.nat_antidiagonal
data.list.nodup
data.list.nodup_equiv_fin
data.list.of_fn
data.list.pairwise
data.list.palindrome
data.list.perm
data.list.permutation
data.list.prime
data.list.prod_sigma
data.list.range
data.list.rotate
data.list.sections
data.list.sigma
data.list.sort
data.list.sublists
data.list.tfae
data.list.zip
data.matrix.basic
data.matrix.basis
data.matrix.block
data.matrix.char_p
data.matrix.dmatrix
data.matrix.hadamard
data.matrix.kronecker
data.matrix.notation
data.matrix.pequiv
data.matrix.rank
data.mllist
data.multiset.antidiagonal
data.multiset.basic
data.multiset.bind
data.multiset.dedup
data.multiset.finset_ops
data.multiset.fold
data.multiset.functor
data.multiset.lattice
data.multiset.locally_finite
data.multiset.nat_antidiagonal
data.multiset.nodup
data.multiset.pi
data.multiset.powerset
data.multiset.range
data.multiset.sections
data.multiset.sort
data.multiset.sum
data.mv_polynomial.basic
data.mv_polynomial.cardinal
data.mv_polynomial.comap
data.mv_polynomial.comm_ring
data.mv_polynomial.counit
data.mv_polynomial.derivation
data.mv_polynomial.equiv
data.mv_polynomial.expand
data.mv_polynomial.funext
data.mv_polynomial.invertible
data.mv_polynomial.monad
data.mv_polynomial.pderiv
data.mv_polynomial.rename
data.mv_polynomial.supported
data.mv_polynomial.variables
data.nat.basic
data.nat.bitwise
data.nat.cast
data.nat.choose.basic
data.nat.choose.bounds
data.nat.choose.cast
data.nat.choose.central
data.nat.choose.dvd
data.nat.choose.sum
data.nat.choose.vandermonde
data.nat.count
data.nat.digits
data.nat.dist
data.nat.enat
data.nat.factorial.basic
data.nat.factorial.cast
data.nat.factorization
data.nat.fib
data.nat.gcd
data.nat.interval
data.nat.lattice
data.nat.log
data.nat.modeq
data.nat.multiplicity
data.nat.nth
data.nat.pairing
data.nat.parity
data.nat.periodic
data.nat.pow
data.nat.prime
data.nat.psub
data.nat.sqrt
data.nat.sqrt_norm_num
data.nat.succ_pred
data.nat.totient
data.nat.upto
data.nat.with_bot
data.num.basic
data.num.bitwise
data.num.lemmas
data.num.prime
data.opposite
data.option.basic
data.option.defs
data.ordmap.ordnode
data.ordmap.ordset
data.part
data.pequiv
data.pfun
data.pfunctor.multivariate.M
data.pfunctor.multivariate.W
data.pfunctor.multivariate.basic
data.pfunctor.univariate.M
data.pfunctor.univariate.basic
data.pi.algebra
data.pi.interval
data.pi.lex
data.pnat.basic
data.pnat.factors
data.pnat.find
data.pnat.interval
data.pnat.prime
data.pnat.xgcd
data.polynomial.algebra_map
data.polynomial.basic
data.polynomial.cancel_leads
data.polynomial.cardinal
data.polynomial.coeff
data.polynomial.degree.card_pow_degree
data.polynomial.degree.definitions
data.polynomial.degree.lemmas
data.polynomial.degree.trailing_degree
data.polynomial.denoms_clearable
data.polynomial.derivative
data.polynomial.div
data.polynomial.erase_lead
data.polynomial.eval
data.polynomial.expand
data.polynomial.field_division
data.polynomial.hasse_deriv
data.polynomial.identities
data.polynomial.induction
data.polynomial.inductions
data.polynomial.integral_normalization
data.polynomial.iterated_deriv
data.polynomial.laurent
data.polynomial.lifts
data.polynomial.mirror
data.polynomial.monic
data.polynomial.monomial
data.polynomial.reverse
data.polynomial.ring_division
data.polynomial.taylor
data.prod.basic
data.prod.lex
data.prod.pprod
data.prod.tprod
data.psigma.order
data.qpf.multivariate.basic
data.qpf.multivariate.constructions.cofix
data.qpf.multivariate.constructions.comp
data.qpf.multivariate.constructions.const
data.qpf.multivariate.constructions.fix
data.qpf.multivariate.constructions.prj
data.qpf.multivariate.constructions.quot
data.qpf.multivariate.constructions.sigma
data.qpf.univariate.basic
data.quot
data.rat.basic
data.rat.cast
data.rat.default
data.rat.denumerable
data.rat.floor
data.rat.meta_defs
data.rat.order
data.rat.sqrt
data.rbmap.basic
data.rbmap.default
data.rbtree.basic
data.rbtree.default_lt
data.rbtree.find
data.rbtree.init
data.rbtree.insert
data.rbtree.main
data.rbtree.min_max
data.real.basic
data.real.cardinality
data.real.cau_seq
data.real.cau_seq_completion
data.real.conjugate_exponents
data.real.ennreal
data.real.ereal
data.real.golden_ratio
data.real.hyperreal
data.real.irrational
data.real.nnreal
data.real.pi.bounds
data.real.pi.leibniz
data.real.pi.wallis
data.real.pointwise
data.real.sign
data.real.sqrt
data.rel
data.semiquot
data.seq.computation
data.seq.parallel
data.seq.seq
data.seq.wseq
data.set.Union_lift
data.set.accumulate
data.set.basic
data.set.constructions
data.set.countable
data.set.enumerate
data.set.equitable
data.set.finite
data.set.function
data.set.functor
data.set.intervals.basic
data.set.intervals.disjoint
data.set.intervals.image_preimage
data.set.intervals.infinite
data.set.intervals.monotone
data.set.intervals.ord_connected
data.set.intervals.pi
data.set.intervals.proj_Icc
data.set.intervals.surj_on
data.set.intervals.unordered_interval
data.set.intervals.with_bot_top
data.set.lattice
data.set.opposite
data.set.pairwise
data.set.pointwise
data.set.prod
data.set.semiring
data.set.sigma
data.set_like.basic
data.set_like.fintype
data.setoid.basic
data.setoid.partition
data.sigma.basic
data.sigma.interval
data.sigma.lex
data.sigma.order
data.sign
data.stream.defs
data.stream.init
data.string.basic
data.string.defs
data.subtype
data.sum.basic
data.sum.interval
data.sum.order
data.sym.basic
data.sym.card
data.sym.sym2
data.tree
data.two_pointing
data.typevec
data.ulift
data.vector.basic
data.vector.zip
data.vector3
data.zmod.algebra
data.zmod.basic
data.zmod.parity
data.zmod.quotient
deprecated.group
deprecated.ring
deprecated.subfield
deprecated.subgroup
deprecated.submonoid
deprecated.subring
dynamics.circle.rotation_number.translation_number
dynamics.ergodic.conservative
dynamics.ergodic.measure_preserving
dynamics.fixed_points.basic
dynamics.fixed_points.topology
dynamics.flow
dynamics.minimal
dynamics.omega_limit
dynamics.periodic_pts
field_theory.abel_ruffini
field_theory.adjoin
field_theory.cardinality
field_theory.chevalley_warning
field_theory.finite.basic
field_theory.finite.galois_field
field_theory.finite.polynomial
field_theory.finiteness
field_theory.fixed
field_theory.galois
field_theory.intermediate_field
field_theory.is_alg_closed.algebraic_closure
field_theory.is_alg_closed.basic
field_theory.is_alg_closed.classification
field_theory.krull_topology
field_theory.laurent
field_theory.minpoly
field_theory.mv_polynomial
field_theory.normal
field_theory.perfect_closure
field_theory.polynomial_galois_group
field_theory.primitive_element
field_theory.ratfunc
field_theory.separable
field_theory.separable_degree
field_theory.splitting_field
field_theory.subfield
field_theory.tower
geometry.euclidean.basic
geometry.euclidean.circumcenter
geometry.euclidean.monge_point
geometry.euclidean.oriented_angle
geometry.euclidean.sphere
geometry.euclidean.triangle
geometry.manifold.algebra.left_invariant_derivation
geometry.manifold.algebra.lie_group
geometry.manifold.algebra.monoid
geometry.manifold.algebra.smooth_functions
geometry.manifold.algebra.structures
geometry.manifold.bump_function
geometry.manifold.charted_space
geometry.manifold.conformal_groupoid
geometry.manifold.cont_mdiff
geometry.manifold.cont_mdiff_map
geometry.manifold.derivation_bundle
geometry.manifold.diffeomorph
geometry.manifold.instances.real
geometry.manifold.instances.sphere
geometry.manifold.instances.units_of_normed_algebra
geometry.manifold.local_invariant_properties
geometry.manifold.mfderiv
geometry.manifold.partition_of_unity
geometry.manifold.smooth_manifold_with_corners
geometry.manifold.tangent_bundle
geometry.manifold.whitney_embedding
group_theory.abelianization
group_theory.archimedean
group_theory.commensurable
group_theory.commutator
group_theory.commuting_probability
group_theory.complement
group_theory.congruence
group_theory.coset
group_theory.double_coset
group_theory.eckmann_hilton
group_theory.exponent
group_theory.finiteness
group_theory.free_abelian_group
group_theory.free_abelian_group_finsupp
group_theory.free_group
group_theory.free_product
group_theory.group_action.basic
group_theory.group_action.big_operators
group_theory.group_action.conj_act
group_theory.group_action.defs
group_theory.group_action.embedding
group_theory.group_action.fixing_subgroup
group_theory.group_action.group
group_theory.group_action.opposite
group_theory.group_action.pi
group_theory.group_action.prod
group_theory.group_action.sub_mul_action
group_theory.group_action.units
group_theory.index
group_theory.is_free_group
group_theory.monoid_localization
group_theory.nielsen_schreier
group_theory.nilpotent
group_theory.noncomm_pi_coprod
group_theory.order_of_element
group_theory.p_group
group_theory.perm.basic
group_theory.perm.concrete_cycle
group_theory.perm.cycle_type
group_theory.perm.cycles
group_theory.perm.fin
group_theory.perm.list
group_theory.perm.option
group_theory.perm.sign
group_theory.perm.subgroup
group_theory.perm.support
group_theory.presented_group
group_theory.quotient_group
group_theory.schreier
group_theory.schur_zassenhaus
group_theory.semidirect_product
group_theory.solvable
group_theory.specific_groups.alternating
group_theory.specific_groups.cyclic
group_theory.specific_groups.dihedral
group_theory.specific_groups.quaternion
group_theory.subgroup.basic
group_theory.subgroup.pointwise
group_theory.submonoid.basic
group_theory.submonoid.center
group_theory.submonoid.centralizer
group_theory.submonoid.inverses
group_theory.submonoid.membership
group_theory.submonoid.operations
group_theory.submonoid.pointwise
group_theory.subsemigroup.basic
group_theory.subsemigroup.center
group_theory.subsemigroup.centralizer
group_theory.subsemigroup.operations
group_theory.sylow
group_theory.torsion
group_theory.transfer
linear_algebra.adic_completion
linear_algebra.affine_space.affine_equiv
linear_algebra.affine_space.affine_map
linear_algebra.affine_space.affine_subspace
linear_algebra.affine_space.basic
linear_algebra.affine_space.basis
linear_algebra.affine_space.combination
linear_algebra.affine_space.finite_dimensional
linear_algebra.affine_space.independent
linear_algebra.affine_space.midpoint
linear_algebra.affine_space.ordered
linear_algebra.affine_space.slope
linear_algebra.alternating
linear_algebra.basic
linear_algebra.basis
linear_algebra.bilinear_form
linear_algebra.bilinear_map
linear_algebra.charpoly.basic
linear_algebra.charpoly.to_matrix
linear_algebra.clifford_algebra.basic
linear_algebra.clifford_algebra.conjugation
linear_algebra.clifford_algebra.equivs
linear_algebra.clifford_algebra.grading
linear_algebra.coevaluation
linear_algebra.contraction
linear_algebra.cross_product
linear_algebra.determinant
linear_algebra.dfinsupp
linear_algebra.dimension
linear_algebra.direct_sum.finsupp
linear_algebra.direct_sum.tensor_product
linear_algebra.dual
linear_algebra.eigenspace
linear_algebra.exterior_algebra.basic
linear_algebra.exterior_algebra.grading
linear_algebra.finite_dimensional
linear_algebra.finsupp
linear_algebra.finsupp_vector_space
linear_algebra.free_algebra
linear_algebra.free_module.basic
linear_algebra.free_module.finite.basic
linear_algebra.free_module.finite.rank
linear_algebra.free_module.pid
linear_algebra.free_module.rank
linear_algebra.free_module.strong_rank_condition
linear_algebra.general_linear_group
linear_algebra.invariant_basis_number
linear_algebra.isomorphisms
linear_algebra.lagrange
linear_algebra.linear_independent
linear_algebra.linear_pmap
linear_algebra.matrix.absolute_value
linear_algebra.matrix.adjugate
linear_algebra.matrix.basis
linear_algebra.matrix.bilinear_form
linear_algebra.matrix.block
linear_algebra.matrix.charpoly.basic
linear_algebra.matrix.charpoly.coeff
linear_algebra.matrix.charpoly.finite_field
linear_algebra.matrix.charpoly.minpoly
linear_algebra.matrix.circulant
linear_algebra.matrix.determinant
linear_algebra.matrix.diagonal
linear_algebra.matrix.dot_product
linear_algebra.matrix.dual
linear_algebra.matrix.finite_dimensional
linear_algebra.matrix.invariant_basis_number
linear_algebra.matrix.is_diag
linear_algebra.matrix.mv_polynomial
linear_algebra.matrix.nondegenerate
linear_algebra.matrix.nonsingular_inverse
linear_algebra.matrix.orthogonal
linear_algebra.matrix.polynomial
linear_algebra.matrix.reindex
linear_algebra.matrix.symmetric
linear_algebra.matrix.to_lin
linear_algebra.matrix.to_linear_equiv
linear_algebra.matrix.trace
linear_algebra.matrix.transvection
linear_algebra.matrix.zpow
linear_algebra.multilinear.basic
linear_algebra.multilinear.basis
linear_algebra.multilinear.finite_dimensional
linear_algebra.multilinear.tensor_product
linear_algebra.orientation
linear_algebra.pi
linear_algebra.pi_tensor_product
linear_algebra.prod
linear_algebra.projection
linear_algebra.projective_space.basic
linear_algebra.quadratic_form.basic
linear_algebra.quadratic_form.complex
linear_algebra.quadratic_form.prod
linear_algebra.quadratic_form.real
linear_algebra.quotient
linear_algebra.ray
linear_algebra.sesquilinear_form
linear_algebra.smodeq
linear_algebra.span
linear_algebra.special_linear_group
linear_algebra.std_basis
linear_algebra.tensor_algebra.basic
linear_algebra.tensor_algebra.grading
linear_algebra.tensor_product
linear_algebra.tensor_product_basis
linear_algebra.trace
linear_algebra.unitary_group
linear_algebra.vandermonde
logic.basic
logic.denumerable
logic.embedding
logic.encodable.basic
logic.encodable.lattice
logic.encodable.small
logic.equiv.basic
logic.equiv.embedding
logic.equiv.fin
logic.equiv.fintype
logic.equiv.functor
logic.equiv.list
logic.equiv.local_equiv
logic.equiv.nat
logic.equiv.option
logic.equiv.set
logic.equiv.transfer_instance
logic.function.basic
logic.function.conjugate
logic.function.iterate
logic.is_empty
logic.nonempty
logic.nontrivial
logic.relation
logic.relator
logic.small
logic.unique
measure_theory.card_measurable_space
measure_theory.category.Meas
measure_theory.constructions.borel_space
measure_theory.constructions.pi
measure_theory.constructions.polish
measure_theory.constructions.prod
measure_theory.covering.besicovitch
measure_theory.covering.besicovitch_vector_space
measure_theory.covering.differentiation
measure_theory.covering.vitali
measure_theory.covering.vitali_family
measure_theory.decomposition.jordan
measure_theory.decomposition.lebesgue
measure_theory.decomposition.radon_nikodym
measure_theory.decomposition.signed_hahn
measure_theory.decomposition.unsigned_hahn
measure_theory.function.ae_eq_fun
measure_theory.function.ae_eq_of_integral
measure_theory.function.ae_measurable_order
measure_theory.function.ae_measurable_sequence
measure_theory.function.conditional_expectation
measure_theory.function.continuous_map_dense
measure_theory.function.convergence_in_measure
measure_theory.function.egorov
measure_theory.function.ess_sup
measure_theory.function.floor
measure_theory.function.jacobian
measure_theory.function.l1_space
measure_theory.function.l2_space
measure_theory.function.locally_integrable
measure_theory.function.lp_order
measure_theory.function.lp_space
measure_theory.function.simple_func_dense
measure_theory.function.simple_func_dense_lp
measure_theory.function.special_functions
measure_theory.function.strongly_measurable
measure_theory.function.strongly_measurable_lp
measure_theory.function.uniform_integrable
measure_theory.group.action
measure_theory.group.arithmetic
measure_theory.group.fundamental_domain
measure_theory.group.integration
measure_theory.group.measurable_equiv
measure_theory.group.measure
measure_theory.group.pointwise
measure_theory.group.prod
measure_theory.integral.average
measure_theory.integral.bochner
measure_theory.integral.circle_integral
measure_theory.integral.divergence_theorem
measure_theory.integral.exp_decay
measure_theory.integral.integrable_on
measure_theory.integral.integral_eq_improper
measure_theory.integral.interval_integral
measure_theory.integral.lebesgue
measure_theory.integral.mean_inequalities
measure_theory.integral.periodic
measure_theory.integral.set_integral
measure_theory.integral.set_to_l1
measure_theory.integral.torus_integral
measure_theory.integral.vitali_caratheodory
measure_theory.lattice
measure_theory.measurable_space
measure_theory.measurable_space_def
measure_theory.measure.ae_disjoint
measure_theory.measure.ae_measurable
measure_theory.measure.complex
measure_theory.measure.complex_lebesgue
measure_theory.measure.content
measure_theory.measure.finite_measure_weak_convergence
measure_theory.measure.giry_monad
measure_theory.measure.haar
measure_theory.measure.haar_lebesgue
measure_theory.measure.haar_quotient
measure_theory.measure.hausdorff
measure_theory.measure.lebesgue
measure_theory.measure.measure_space
measure_theory.measure.measure_space_def
measure_theory.measure.mutually_singular
measure_theory.measure.null_measurable
measure_theory.measure.open_pos
measure_theory.measure.outer_measure
measure_theory.measure.regular
measure_theory.measure.stieltjes
measure_theory.measure.sub
measure_theory.measure.vector_measure
measure_theory.measure.with_density_vector_measure
measure_theory.pi_system
measure_theory.probability_mass_function.basic
measure_theory.probability_mass_function.constructions
measure_theory.probability_mass_function.monad
measure_theory.tactic
meta.coinductive_predicates
meta.expr
meta.expr_lens
meta.rb_map
meta.uchange
model_theory.basic
model_theory.bundled
model_theory.definability
model_theory.direct_limit
model_theory.elementary_maps
model_theory.encoding
model_theory.finitely_generated
model_theory.fraisse
model_theory.graph
model_theory.language_map
model_theory.order
model_theory.quotients
model_theory.satisfiability
model_theory.semantics
model_theory.skolem
model_theory.substructures
model_theory.syntax
model_theory.ultraproducts
number_theory.ADE_inequality
number_theory.arithmetic_function
number_theory.basic
number_theory.bernoulli
number_theory.bernoulli_polynomials
number_theory.class_number.admissible_abs
number_theory.class_number.admissible_absolute_value
number_theory.class_number.admissible_card_pow_degree
number_theory.class_number.finite
number_theory.class_number.function_field
number_theory.class_number.number_field
number_theory.cyclotomic.basic
number_theory.cyclotomic.discriminant
number_theory.cyclotomic.gal
number_theory.cyclotomic.primitive_roots
number_theory.cyclotomic.rat
number_theory.dioph
number_theory.divisors
number_theory.fermat4
number_theory.frobenius_number
number_theory.function_field
number_theory.l_series
number_theory.legendre_symbol.auxiliary
number_theory.legendre_symbol.gauss_eisenstein_lemmas
number_theory.legendre_symbol.quadratic_char
number_theory.legendre_symbol.quadratic_reciprocity
number_theory.legendre_symbol.zmod_char
number_theory.liouville.basic
number_theory.liouville.liouville_constant
number_theory.liouville.liouville_with
number_theory.liouville.measure
number_theory.liouville.residual
number_theory.lucas_lehmer
number_theory.lucas_primality
number_theory.modular
number_theory.number_field
number_theory.padics.hensel
number_theory.padics.padic_integers
number_theory.padics.padic_norm
number_theory.padics.padic_numbers
number_theory.padics.padic_val
number_theory.padics.ring_homs
number_theory.pell
number_theory.prime_counting
number_theory.primes_congruent_one
number_theory.primorial
number_theory.pythagorean_triples
number_theory.sum_four_squares
number_theory.sum_two_squares
number_theory.von_mangoldt
number_theory.zsqrtd.basic
number_theory.zsqrtd.gaussian_int
number_theory.zsqrtd.to_real
order.antichain
order.antisymmetrization
order.atoms
order.basic
order.boolean_algebra
order.bounded
order.bounded_order
order.bounds
order.category.BoolAlg
order.category.BoundedDistribLattice
order.category.BoundedLattice
order.category.BoundedOrder
order.category.CompleteLattice
order.category.DistribLattice
order.category.FinBoolAlg
order.category.FinPartialOrder
order.category.Frame
order.category.Lattice
order.category.LinearOrder
order.category.NonemptyFinLinOrd
order.category.PartialOrder
order.category.Preorder
order.category.Semilattice
order.category.omega_complete_partial_order
order.chain
order.circular
order.closure
order.compactly_generated
order.compare
order.complete_boolean_algebra
order.complete_lattice
order.complete_lattice_intervals
order.concept
order.conditionally_complete_lattice
order.copy
order.countable_dense_linear_order
order.cover
order.directed
order.disjointed
order.extension
order.filter.archimedean
order.filter.at_top_bot
order.filter.bases
order.filter.basic
order.filter.cofinite
order.filter.countable_Inter
order.filter.ennreal
order.filter.extr
order.filter.filter_product
order.filter.germ
order.filter.indicator_function
order.filter.interval
order.filter.lift
order.filter.modeq
order.filter.n_ary
order.filter.partial
order.filter.pi
order.filter.pointwise
order.filter.small_sets
order.filter.ultrafilter
order.fixed_points
order.galois_connection
order.grade
order.hom.basic
order.hom.bounded
order.hom.complete_lattice
order.hom.lattice
order.hom.order
order.ideal
order.imp
order.iterate
order.jordan_holder
order.lattice
order.lattice_intervals
order.liminf_limsup
order.locally_finite
order.max
order.min_max
order.minimal
order.modular_lattice
order.monotone
order.monovary
order.omega_complete_partial_order
order.ord_continuous
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order.partial_sups
order.partition.equipartition
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order.pfilter
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order.rel_classes
order.rel_iso
order.semiconj_Sup
order.succ_pred.basic
order.succ_pred.relation
order.sup_indep
order.symm_diff
order.synonym
order.upper_lower
order.well_founded
order.well_founded_set
order.zorn
probability.cond_count
probability.conditional
probability.density
probability.ident_distrib
probability.independence
probability.integration
probability.martingale
probability.notation
probability.stopping
probability.variance
representation_theory.Action
representation_theory.Rep
representation_theory.basic
representation_theory.fdRep
representation_theory.invariants
representation_theory.maschke
ring_theory.adjoin.basic
ring_theory.adjoin.fg
ring_theory.adjoin.power_basis
ring_theory.adjoin_root
ring_theory.algebra_tower
ring_theory.algebraic
ring_theory.algebraic_independent
ring_theory.artinian
ring_theory.chain_of_divisors
ring_theory.class_group
ring_theory.coprime.basic
ring_theory.coprime.lemmas
ring_theory.dedekind_domain.adic_valuation
ring_theory.dedekind_domain.basic
ring_theory.dedekind_domain.dvr
ring_theory.dedekind_domain.ideal
ring_theory.dedekind_domain.integral_closure
ring_theory.derivation
ring_theory.discrete_valuation_ring
ring_theory.discriminant
ring_theory.eisenstein_criterion
ring_theory.euclidean_domain
ring_theory.finiteness
ring_theory.fintype
ring_theory.flat
ring_theory.fractional_ideal
ring_theory.free_comm_ring
ring_theory.free_ring
ring_theory.graded_algebra.basic
ring_theory.graded_algebra.homogeneous_ideal
ring_theory.graded_algebra.homogeneous_localization
ring_theory.graded_algebra.radical
ring_theory.hahn_series
ring_theory.henselian
ring_theory.ideal.basic
ring_theory.ideal.local_ring
ring_theory.ideal.operations
ring_theory.ideal.over
ring_theory.ideal.prod
ring_theory.ideal.quotient
ring_theory.int.basic
ring_theory.integral_closure
ring_theory.integral_domain
ring_theory.integrally_closed
ring_theory.jacobson
ring_theory.jacobson_ideal
ring_theory.laurent_series
ring_theory.local_properties
ring_theory.localization.as_subring
ring_theory.localization.at_prime
ring_theory.localization.away
ring_theory.localization.basic
ring_theory.localization.cardinality
ring_theory.localization.fraction_ring
ring_theory.localization.ideal
ring_theory.localization.integer
ring_theory.localization.integral
ring_theory.localization.inv_submonoid
ring_theory.localization.localization_localization
ring_theory.localization.module
ring_theory.localization.num_denom
ring_theory.localization.submodule
ring_theory.matrix_algebra
ring_theory.multiplicity
ring_theory.mv_polynomial.basic
ring_theory.nakayama
ring_theory.nilpotent
ring_theory.noetherian
ring_theory.non_zero_divisors
ring_theory.norm
ring_theory.nullstellensatz
ring_theory.perfection
ring_theory.polynomial.basic
ring_theory.polynomial.bernstein
ring_theory.polynomial.chebyshev
ring_theory.polynomial.content
ring_theory.polynomial.cyclotomic.basic
ring_theory.polynomial.cyclotomic.eval
ring_theory.polynomial.dickson
ring_theory.polynomial.eisenstein
ring_theory.polynomial.gauss_lemma
ring_theory.polynomial.homogeneous
ring_theory.polynomial.opposites
ring_theory.polynomial.pochhammer
ring_theory.polynomial.rational_root
ring_theory.polynomial.scale_roots
ring_theory.polynomial.symmetric
ring_theory.polynomial.tower
ring_theory.polynomial.vieta
ring_theory.polynomial_algebra
ring_theory.power_basis
ring_theory.power_series.basic
ring_theory.power_series.well_known
ring_theory.prime
ring_theory.principal_ideal_domain
ring_theory.ring_invo
ring_theory.roots_of_unity
ring_theory.simple_module
ring_theory.subring.basic
ring_theory.subring.pointwise
ring_theory.subsemiring.basic
ring_theory.subsemiring.pointwise
ring_theory.tensor_product
ring_theory.trace
ring_theory.unique_factorization_domain
ring_theory.valuation.basic
ring_theory.valuation.extend_to_localization
ring_theory.valuation.integers
ring_theory.valuation.integral
ring_theory.valuation.valuation_ring
ring_theory.valuation.valuation_subring
ring_theory.witt_vector.basic
ring_theory.witt_vector.compare
ring_theory.witt_vector.defs
ring_theory.witt_vector.discrete_valuation_ring
ring_theory.witt_vector.domain
ring_theory.witt_vector.frobenius
ring_theory.witt_vector.frobenius_fraction_field
ring_theory.witt_vector.identities
ring_theory.witt_vector.init_tail
ring_theory.witt_vector.is_poly
ring_theory.witt_vector.isocrystal
ring_theory.witt_vector.mul_coeff
ring_theory.witt_vector.mul_p
ring_theory.witt_vector.structure_polynomial
ring_theory.witt_vector.teichmuller
ring_theory.witt_vector.truncated
ring_theory.witt_vector.verschiebung
ring_theory.witt_vector.witt_polynomial
set_theory.cardinal.basic
set_theory.cardinal.cofinality
set_theory.cardinal.continuum
set_theory.cardinal.divisibility
set_theory.cardinal.finite
set_theory.cardinal.ordinal
set_theory.game.basic
set_theory.game.birthday
set_theory.game.domineering
set_theory.game.impartial
set_theory.game.nim
set_theory.game.ordinal
set_theory.game.pgame
set_theory.game.short
set_theory.game.state
set_theory.game.winner
set_theory.lists
set_theory.ordinal.arithmetic
set_theory.ordinal.basic
set_theory.ordinal.fixed_point
set_theory.ordinal.notation
set_theory.ordinal.principal
set_theory.ordinal.topology
set_theory.schroeder_bernstein
set_theory.surreal.basic
set_theory.surreal.dyadic
set_theory.zfc
tactic.abel
tactic.algebra
tactic.alias
tactic.apply
tactic.apply_fun
tactic.auto_cases
tactic.binder_matching
tactic.by_contra
tactic.cache
tactic.cancel_denoms
tactic.chain
tactic.choose
tactic.clear
tactic.congr
tactic.converter.apply_congr
tactic.converter.binders
tactic.converter.interactive
tactic.converter.old_conv
tactic.core
tactic.dec_trivial
tactic.delta_instance
tactic.dependencies
tactic.derive_fintype
tactic.derive_inhabited
tactic.doc_commands
tactic.elementwise
tactic.elide
tactic.equiv_rw
tactic.explode
tactic.explode_widget
tactic.ext
tactic.field_simp
tactic.fin_cases
tactic.find
tactic.find_unused
tactic.finish
tactic.fix_reflect_string
tactic.fresh_names
tactic.generalize_proofs
tactic.generalizes
tactic.group
tactic.has_variable_names
tactic.hint
tactic.induction
tactic.interactive
tactic.interactive_expr
tactic.interval_cases
tactic.itauto
tactic.lean_core_docs
tactic.lift
tactic.linarith.datatypes
tactic.linarith.elimination
tactic.linarith.frontend
tactic.linarith.lemmas
tactic.linarith.parsing
tactic.linarith.preprocessing
tactic.linarith.verification
tactic.linear_combination
tactic.lint.basic
tactic.lint.default
tactic.lint.frontend
tactic.lint.misc
tactic.lint.simp
tactic.lint.type_classes
tactic.local_cache
tactic.localized
tactic.mk_iff_of_inductive_prop
tactic.monotonicity.basic
tactic.monotonicity.interactive
tactic.monotonicity.lemmas
tactic.noncomm_ring
tactic.norm_cast
tactic.norm_fin
tactic.norm_num
tactic.norm_swap
tactic.nth_rewrite.basic
tactic.nth_rewrite.congr
tactic.nth_rewrite.default
tactic.observe
tactic.obviously
tactic.omega.clause
tactic.omega.coeffs
tactic.omega.eq_elim
tactic.omega.find_ees
tactic.omega.find_scalars
tactic.omega.int.dnf
tactic.omega.int.form
tactic.omega.int.main
tactic.omega.int.preterm
tactic.omega.lin_comb
tactic.omega.main
tactic.omega.misc
tactic.omega.nat.dnf
tactic.omega.nat.form
tactic.omega.nat.main
tactic.omega.nat.neg_elim
tactic.omega.nat.preterm
tactic.omega.nat.sub_elim
tactic.omega.prove_unsats
tactic.omega.term
tactic.pi_instances
tactic.pretty_cases
tactic.project_dir
tactic.protected
tactic.push_neg
tactic.rcases
tactic.reassoc_axiom
tactic.rename_var
tactic.replacer
tactic.reserved_notation
tactic.restate_axiom
tactic.rewrite
tactic.rewrite_all.basic
tactic.rewrite_search.discovery
tactic.rewrite_search.explain
tactic.rewrite_search.frontend
tactic.rewrite_search.search
tactic.rewrite_search.types
tactic.ring
tactic.ring2
tactic.ring_exp
tactic.scc
tactic.show_term
tactic.simp_command
tactic.simp_result
tactic.simp_rw
tactic.simpa
tactic.simps
tactic.slice
tactic.slim_check
tactic.solve_by_elim
tactic.split_ifs
tactic.squeeze
tactic.subtype_instance
tactic.suggest
tactic.swap_var
tactic.tauto
tactic.tfae
tactic.tidy
tactic.transform_decl
tactic.transport
tactic.trunc_cases
tactic.unfold_cases
tactic.unify_equations
tactic.where
tactic.with_local_reducibility
tactic.wlog
tactic.zify
testing.slim_check.functions
testing.slim_check.gen
testing.slim_check.sampleable
testing.slim_check.testable
topology.G_delta
topology.alexandroff
topology.algebra.affine
topology.algebra.algebra
topology.algebra.const_mul_action
topology.algebra.constructions
topology.algebra.continuous_affine_map
topology.algebra.continuous_monoid_hom
topology.algebra.field
topology.algebra.filter_basis
topology.algebra.group
topology.algebra.group_completion
topology.algebra.group_with_zero
topology.algebra.infinite_sum
topology.algebra.localization
topology.algebra.module.basic
topology.algebra.module.character_space
topology.algebra.module.locally_convex
topology.algebra.module.multilinear
topology.algebra.module.weak_dual
topology.algebra.monoid
topology.algebra.mul_action
topology.algebra.nonarchimedean.adic_topology
topology.algebra.nonarchimedean.bases
topology.algebra.nonarchimedean.basic
topology.algebra.open_subgroup
topology.algebra.order.basic
topology.algebra.order.compact
topology.algebra.order.extend_from
topology.algebra.order.extr_closure
topology.algebra.order.floor
topology.algebra.order.intermediate_value
topology.algebra.order.left_right
topology.algebra.order.liminf_limsup
topology.algebra.order.monotone_continuity
topology.algebra.order.monotone_convergence
topology.algebra.order.proj_Icc
topology.algebra.polynomial
topology.algebra.ring
topology.algebra.semigroup
topology.algebra.star
topology.algebra.uniform_field
topology.algebra.uniform_filter_basis
topology.algebra.uniform_group
topology.algebra.uniform_mul_action
topology.algebra.uniform_ring
topology.algebra.valuation
topology.algebra.valued_field
topology.algebra.with_zero_topology
topology.bases
topology.basic
topology.bornology.basic
topology.bornology.constructions
topology.bornology.hom
topology.category.Born
topology.category.CompHaus.default
topology.category.CompHaus.projective
topology.category.Compactum
topology.category.Locale
topology.category.Profinite.as_limit
topology.category.Profinite.cofiltered_limit
topology.category.Profinite.default
topology.category.Profinite.projective
topology.category.Top.adjunctions
topology.category.Top.basic
topology.category.Top.epi_mono
topology.category.Top.limits
topology.category.Top.open_nhds
topology.category.Top.opens
topology.category.TopCommRing
topology.category.UniformSpace
topology.compact_open
topology.connected
topology.constructions
topology.continuous_function.algebra
topology.continuous_function.basic
topology.continuous_function.bounded
topology.continuous_function.cocompact_map
topology.continuous_function.compact
topology.continuous_function.locally_constant
topology.continuous_function.ordered
topology.continuous_function.polynomial
topology.continuous_function.stone_weierstrass
topology.continuous_function.units
topology.continuous_function.weierstrass
topology.continuous_function.zero_at_infty
topology.continuous_on
topology.dense_embedding
topology.discrete_quotient
topology.extend_from
topology.fiber_bundle
topology.gluing
topology.hom.open
topology.homeomorph
topology.homotopy.basic
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topology.homotopy.equiv
topology.homotopy.path
topology.homotopy.product
topology.instances.discrete
topology.instances.ennreal
topology.instances.ereal
topology.instances.int
topology.instances.irrational
topology.instances.matrix
topology.instances.nat
topology.instances.nnreal
topology.instances.rat
topology.instances.rat_lemmas
topology.instances.real
topology.instances.real_vector_space
topology.is_locally_homeomorph
topology.list
topology.local_extr
topology.local_homeomorph
topology.locally_constant.algebra
topology.locally_constant.basic
topology.maps
topology.metric_space.algebra
topology.metric_space.antilipschitz
topology.metric_space.baire
topology.metric_space.basic
topology.metric_space.cau_seq_filter
topology.metric_space.closeds
topology.metric_space.completion
topology.metric_space.contracting
topology.metric_space.emetric_paracompact
topology.metric_space.emetric_space
topology.metric_space.gluing
topology.metric_space.gromov_hausdorff
topology.metric_space.gromov_hausdorff_realized
topology.metric_space.hausdorff_dimension
topology.metric_space.hausdorff_distance
topology.metric_space.holder
topology.metric_space.isometry
topology.metric_space.kuratowski
topology.metric_space.lipschitz
topology.metric_space.metric_separated
topology.metric_space.metrizable
topology.metric_space.pi_nat
topology.metric_space.polish
topology.metric_space.shrinking_lemma
topology.metric_space.thickened_indicator
topology.nhds_set
topology.omega_complete_partial_order
topology.order
topology.order.hom.basic
topology.order.hom.esakia
topology.order.lattice
topology.order.priestley
topology.paracompact
topology.partition_of_unity
topology.path_connected
topology.semicontinuous
topology.separation
topology.sequences
topology.sets.closeds
topology.sets.compacts
topology.sets.opens
topology.sets.order
topology.sheaves.forget
topology.sheaves.functors
topology.sheaves.limits
topology.sheaves.local_predicate
topology.sheaves.presheaf
topology.sheaves.presheaf_of_functions
topology.sheaves.sheaf
topology.sheaves.sheaf_condition.equalizer_products
topology.sheaves.sheaf_condition.opens_le_cover
topology.sheaves.sheaf_condition.pairwise_intersections
topology.sheaves.sheaf_condition.sites
topology.sheaves.sheaf_condition.unique_gluing
topology.sheaves.sheaf_of_functions
topology.sheaves.sheafify
topology.sheaves.stalks
topology.shrinking_lemma
topology.sober
topology.spectral.hom
topology.stone_cech
topology.subset_properties
topology.support
topology.tactic
topology.tietze_extension
topology.uniform_space.absolute_value
topology.uniform_space.abstract_completion
topology.uniform_space.basic
topology.uniform_space.cauchy
topology.uniform_space.compact_convergence
topology.uniform_space.compact_separated
topology.uniform_space.compare_reals
topology.uniform_space.complete_separated
topology.uniform_space.completion
topology.uniform_space.matrix
topology.uniform_space.pi
topology.uniform_space.separation
topology.uniform_space.uniform_convergence
topology.uniform_space.uniform_convergence_topology
topology.uniform_space.uniform_embedding
topology.unit_interval
topology.urysohns_bounded
topology.urysohns_lemma
topology.vector_bundle

debugger.attr

source

meta def debugger.attr :

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General documentation

Additional documentation

mathlib overview

tactic writing

calc mode

conv mode

simplification

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style guide

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Library

core

data

buffer

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buffer

dlist

vector

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functor

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lawful

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option

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qsort

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basic

lemmas

sigma

basic

lex

string

basic

ops

subtype

basic

instances

sum

basic

unsigned

basic

ops

prod

punit

quot

repr

set

setoid

to_string

mathlib

algebra

subalgebra

basic

pointwise

basic

bilinear

operations

restrict_scalars

spectrum

tower

unitization

big_operators

associated

basic

enat

fin

finprod

finsupp

intervals

multiset

nat_antidiagonal

norm_num

option

order

pi

ring

category

Algebra

basic

limits

FinVect

limits

Group

Z_Module_equivalence

abelian

adjunctions

basic

biproducts

colimits

filtered_colimits

images

limits

preadditive

subobject

zero

Module

abelian

adjunctions

basic

biproducts

colimits

epi_mono

filtered_colimits

images

kernels

limits

monoidal

products

projective

simple

subobject

Mon

adjunctions

basic

colimits

filtered_colimits

limits

Ring

adjunctions

basic

colimits

constructions

filtered_colimits

instances

limits

Semigroup

basic

BoolRing

FinVect

GroupWithZero

char_p

algebra

basic

exp_char

invertible

pi

quotient

subring

two

continued_fractions

computation

approximation_corollaries

approximations

basic

correctness_terminating

default

terminates_iff_rat

translations

basic

continuants_recurrence

convergents_equiv

default

terminated_stable

translations

direct_sum

algebra

basic

finsupp

internal

module

ring

field

basic

opposite

gcd_monoid

basic

finset

multiset

nat

group

basic

commute

conj

default

defs

ext

inj_surj

opposite

pi

prod

semiconj

to_additive

type_tags

ulift

units

with_one

group_power

basic

identities

lemmas

order

group_with_zero

basic

defs

power

hom

aut

equiv

freiman

group

group_action

group_instances

iterate

non_unital_alg

ring

units

homology

short_exact

abelian

preadditive

Module

additive

augment

complex_shape

differential_object

exact

flip

functor

homological_complex

homology

homotopy

homotopy_category

image_to_kernel

quasi_iso

single

lie

abelian

base_change

basic

cartan_matrix

cartan_subalgebra

character

classical

direct_sum

engel

free

ideal_operations

matrix

nilpotent

non_unital_non_assoc_algebra

of_associative

quotient

semisimple

skew_adjoint

solvable

subalgebra

submodule

tensor_product

universal_enveloping

weights

module

submodule

basic

bilinear

lattice

pointwise

algebra

basic

default

equiv

hom

linear_map

opposites

pi

pointwise_pi

prod

projective

torsion

ulift

monoid_algebra

basic

grading

to_direct_sum

order

hom

monoid

ring

absolute_value

algebra

archimedean

euclidean_absolute_value

field

floor

group

invertible

lattice_group

module

monoid

monoid_lemmas

monoid_lemmas_zero_lt

nonneg

pi

pointwise

rearrangement

ring

smul

sub

with_zero

polynomial

big_operators

group_ring_action

regular

basic

pow

smul

ring

aut

basic

boolean_ring

comp_typeclasses

default

equiv

idempotents

opposite

pi

prod

ulift

star

basic

chsh

free

module

pi

pointwise

prod

self_adjoint

subalgebra

unitary

tropical

basic

big_operators

lattice

abs

add_torsor

algebraic_card

associated

bounds

char_zero

covariant_and_contravariant

cubic_discriminant

direct_limit

divisibility

dual_number

euclidean_domain

field_power

free

free_algebra

free_monoid

free_non_unital_non_assoc_algebra

geom_sum

graded_monoid

group_ring_action

hierarchy_design

indicator_function

invertible

is_prime_pow

linear_recurrence

ne_zero

opposites

parity

pempty_instances

periodic

punit_instances

quadratic_discriminant

quandle

quaternion

quaternion_basis

quotient

ring_quot

smul_with_zero

squarefree

support

symmetrized

triv_sq_zero_ext

algebraic_geometry

locally_ringed_space

has_colimits

presheafed_space

gluing

has_colimits

prime_spectrum

basic

is_open_comap_C

noetherian

projective_spectrum

scheme

structure_sheaf

topology

AffineScheme

EllipticCurve

Gamma_Spec_adjunction

Scheme

Spec

function_field

gluing

locally_ringed_space

open_immersion

presheafed_space

properties

pullbacks

ringed_space

sheafed_space

stalks

structure_sheaf

algebraic_topology

dold_kan

homotopies

notations

fundamental_groupoid

basic

fundamental_group

induced_maps

product

punit

Moore_complex

alternating_face_map_complex

cech_nerve

simplex_category

simplicial_object

simplicial_set

topological_simplex

analysis

ODE

gronwall

picard_lindelof

analytic

basic

composition

inverse

linear

radius_liminf

asymptotics

asymptotic_equivalent

asymptotics

specific_asymptotics

superpolynomial_decay

box_integral

box

basic

subbox_induction

partition

additive

basic

filter

measure

split

subbox_induction

tagged

basic

divergence_theorem

integrability

calculus

conformal

inner_product

normed_space

affine_map

cont_diff

darboux

deriv

diff_on_int_cont

dslope

extend_deriv

fderiv

fderiv_analytic

fderiv_measurable

fderiv_symmetric

formal_multilinear_series

implicit

inverse

iterated_deriv

lagrange_multipliers

lhopital

local_extr

mean_value

parametric_integral

parametric_interval_integral

specific_functions

tangent_cone

complex

abs_max

arg

basic

cauchy_integral

circle

conformal

isometry

liouville

polynomial

re_im_topology

real_deriv

removable_singularity

roots_of_unity

schwarz

upper_half_plane

convex

simplicial_complex

basic

caratheodory

combination

complex

cone

exposed

extrema

extreme

function

gauge

hull

independent

integral

jensen

measure

quasiconvex

slope

specific_functions

star

strict

strict_convex_space

topology

inner_product_space

adjoint

basic

calculus

conformal_linear_map

dual

euclidean_dist

gram_schmidt_ortho

l2_space

lax_milgram

orientation

pi_L2

projection

rayleigh

spectrum

locally_convex

balanced_core_hull

basic

bounded

polar

weak_dual

with_seminorms

normed

group

SemiNormedGroup

completion

kernels

SemiNormedGroup

add_torsor

basic

completion

hom

hom_completion

infinite_sum

pointwise

quotient

normed_field

normed_space

star

basic

complex

exponential

matrix

spectrum

add_torsor

add_torsor_bases

affine_isometry

banach

banach_steinhaus

basic

bounded_linear_maps

complemented

completion

conformal_linear_map

continuous_affine_map

dual

enorm

exponential

extend

finite_dimension

hahn_banach

indicator_function

int

is_R_or_C

lattice_ordered_group

linear_isometry

lp_space

matrix_exponential

mazur_ulam

multilinear

operator_norm

ordered

pi_Lp

pointwise

ray

riesz_lemma

spectrum

units

weak_dual

special_functions

complex

arg

circle

log

log_deriv

log

base

basic

deriv

monotone

trigonometric

angle

arctan

arctan_deriv

basic

bounds

chebyshev

complex

complex_deriv

deriv

inverse

inverse_deriv

arsinh

bernstein

exp

exp_deriv

exponential

gamma

integrals

non_integrable

polynomials

pow

pow_deriv

sqrt

specific_limits

basic

floor_pow

normed

von_neumann_algebra

basic

fourier

hofer

matrix

mean_inequalities

mean_inequalities_pow

p_series

quaternion

seminorm

subadditive

category_theory

abelian

diagram_lemmas

four

basic

exact

ext

functor_category

homology

images

injective_resolution

left_derived

non_preadditive

opposite

projective

pseudoelements

right_derived

transfer

additive

basic

adjunction

adjoint_functor_theorems

basic

comma

evaluation

fully_faithful

lifting

limits

mates

opposites

over

reflective

whiskering

bicategory

End

basic

coherence

coherence_tactic

free

functor

functor_bicategory

locally_discrete

natural_transformation

single_obj

strict

category

Cat

limit

Bipointed

Cat

Groupoid

Kleisli

PartialFun

Pointed

Quiv

Rel

Twop

basic

pairwise

preorder

ulift

closed

cartesian

functor

ideal

monoidal

types

zero

concrete_category

basic

bundled

bundled_hom

elementwise

reflects_isomorphisms

unbundled_hom

endofunctor

algebra

enriched

basic

functor

basic

category

const

currying

flat

fully_faithful

functorial

hom

left_derived

reflects_isomorphisms

idempotents

basic

biproducts

functor_categories

karoubi

karoubi_karoubi

simplicial_object

limits

constructions

over

connected

default

products

binary_products

epi_mono

equalizers

finite_products_of_binary_products

limits_of_products_and_equalizers

pullbacks

weakly_initial

preserves

shapes

binary_products

biproducts

equalizers

kernels

products

pullbacks

terminal

zero

basic

filtered

finite

functor_category

limits

opposites

shapes

normal_mono

basic

equalizers

binary_products

biproducts

concrete_category

disjoint_coproduct

equalizers

finite_limits

finite_products

functor_category

images

kernel_pair

kernels

multiequalizer

products

pullbacks

reflexive

regular_mono

split_coequalizer

strict_initial

strong_epi

terminal

types

wide_equalizers

wide_pullbacks

zero_morphisms

zero_objects

bicones

colimit_limit

comma

concrete_category

cone_category

cones

connected

creates

filtered_colimit_commutes_finite_limit

final

fubini

functor_category

has_limits

is_limit

kan_extension

lattice

opposites

over

pi

presheaf

punit

small_complete

types

yoneda

linear

default

functor_category

linear_functor

yoneda

monad

adjunction

algebra

basic

coequalizer

equiv_mon

kleisli

limits

monadicity

products

types

monoidal

free

basic

coherence

internal

Module

functor_category

limits

types

rigid

basic

functor_category

of_equivalence

CommMon_

End

Mod

Mon_

braided

category

center

coherence

coherence_lemmas

discrete

functor

functor_category

functorial

limits

linear

natural_transformation

of_chosen_finite_products

of_has_finite_products

opposite

preadditive

skeleton

tor

transport

types

pi

basic

preadditive

Mat

additive_functor

biproducts

default

functor_category

generator

injective

injective_resolution

opposite

projective

projective_resolution

schur

single_obj

yoneda

products

associator

basic

bifunctor

sigma

basic

sites

adjunction

canonical

closed

compatible_plus

compatible_sheafification

cover_lifting

cover_preserving

dense_subsite

grothendieck

induced_topology

left_exact

limits

plus

pretopology

sheaf

sheaf_of_types

sheafification

sieves

spaces

types

whiskering

subobject

basic

factor_thru

lattice

limits

mono_over

types

well_powered

sums

associator

basic

triangulated

basic

pretriangulated

rotate

Fintype

action

arrow

balanced

comma

conj

connected_components

core

differential_object

discrete_category

elements

elementwise

endomorphism

epi_mono

eq_to_hom

equivalence

essential_image

essentially_small

filtered

fin_category

full_subcategory

generator

glue_data

graded_object

grothendieck

groupoid

is_connected

isomorphism

isomorphism_classes

lifting_properties

natural_isomorphism

natural_transformation

noetherian

opposites

over

path_category

pempty

punit

quotient

shift

simple

single_obj

skeletal

structured_arrow

subterminal

thin

types

whiskering

with_terminal

yoneda

combinatorics

additive

salem_spencer

derangements

basic

exponential

finite

hall

basic

finite

quiver

arborescence

basic

connected_component

path

subquiver

set_family

compression

uv

lym

shadow

simple_graph

regularity

bound

energy

uniform

adj_matrix

basic

clique

coloring

connectivity

degree_sum

density

hasse

inc_matrix

matching

metric

partition

strongly_regular

subgraph

colex

composition

configuration

double_counting

hales_jewett

hindman

partition

pigeonhole

computability

DFA

NFA

encoding

epsilon_NFA

halting

language

partrec

partrec_code

primrec

reduce

regular_expressions

tm_computable

tm_to_partrec

turing_machine

control

bitraversable

basic

instances

lemmas

equiv_functor

instances

functor

multivariate

monad

basic

cont

writer

traversable

basic

derive

equiv

instances

lemmas

applicative

basic

bifunctor

equiv_functor

fix

fold

functor

lawful_fix

random

ulift

uliftable

data

W

basic

cardinal

constructions

analysis

filter

topology

array

lemmas

bitvec

basic

core

bool

all_any

basic

set

buffer

parser

basic

numeral

basic

complex

basic

cardinality

determinant

exponential

exponential_bounds

is_R_or_C

module

dfinsupp

basic

interval

order

dlist

basic

instances

fin

tuple

basic

nat_antidiagonal

sort

basic

fin2

interval

succ_pred

vec_notation

finset

basic

card

fin

finsupp

fold

functor

interval

lattice

locally_finite

n_ary

nat_antidiagonal

noncomm_prod

option

order

pairwise

pi

pi_induction

pimage

pointwise

powerset

preimage

prod

sigma

slice

sort

sum

sym

finsupp

antidiagonal

basic

default

fin

indicator

interval

multiset

order

pointwise

pwo

to_dfinsupp

fintype

basic

card

card_embedding

fin

list

order

small

sort

fp

basic

fun_like

basic

embedding

equiv

int

absolute_value

basic

cast

char_zero

gcd

interval

least_greatest

modeq

nat_prime

order

parity

range

sqrt

succ_pred

lazy_list

basic

list

alist

basic

big_operators

chain

count

cycle

dedup

defs

destutter

duplicate

forall2

func

indexes

infix

intervals

join

lattice

lex

min_max

nat_antidiagonal

nodup

nodup_equiv_fin

of_fn

pairwise

palindrome

perm

permutation

prime

prod_sigma

range

rotate

sections

sigma

sort

sublists

tfae

zip

matrix

basic

basis

block

char_p

dmatrix

hadamard

kronecker

notation

pequiv

rank

multiset

antidiagonal

basic

bind

dedup

finset_ops

fold

functor

lattice

locally_finite

nat_antidiagonal

nodup

pi

powerset

range

sections

sort

sum

mv_polynomial

basic

cardinal

comap

comm_ring

counit

derivation

equiv

expand

funext

invertible

monad

pderiv

rename

supported

variables

nat

choose

basic

bounds

cast

central

dvd

sum

vandermonde

factorial

basic

cast

basic

bitwise

cast

count

digits

dist

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factorization

fib

gcd

interval

lattice

log

modeq

multiplicity

nth

pairing

parity

periodic

pow

prime

psub

sqrt

sqrt_norm_num

succ_pred

totient

upto

with_bot

num

basic

bitwise

lemmas

prime

option

basic

defs

ordmap

ordnode

ordset

pfunctor

multivariate

M

W

basic

univariate

M

basic

pi

algebra

interval

lex

pnat

basic

factors

find

interval

prime

xgcd

polynomial

degree

card_pow_degree

definitions

lemmas

trailing_degree

algebra_map

basic

cancel_leads

cardinal

coeff

denoms_clearable

derivative

div

erase_lead

eval

expand

field_division

hasse_deriv

identities

induction

inductions

integral_normalization

iterated_deriv

laurent

lifts

mirror

monic

monomial

reverse

ring_division

taylor

prod

basic

lex

pprod

tprod

psigma

order

qpf

multivariate

constructions

cofix

comp

const

fix

prj

quot

sigma

basic

univariate

basic

rat

basic

cast

default

denumerable

floor

meta_defs

order

sqrt

rbmap

basic

default

rbtree

basic

default_lt

find

init

insert

main

min_max

real

pi

bounds

leibniz

wallis

basic

cardinality

cau_seq

cau_seq_completion

conjugate_exponents

ennreal

ereal

golden_ratio

hyperreal

irrational

nnreal

pointwise

sign

sqrt

seq

computation

parallel

seq

wseq

set

intervals

basic

disjoint

image_preimage

infinite

monotone

ord_connected

pi

proj_Icc

surj_on

unordered_interval

with_bot_top

Union_lift

accumulate

basic

constructions

countable

enumerate

equitable

finite

function

functor

lattice

opposite

pairwise

pointwise

prod

semiring

sigma

set_like

basic

fintype

setoid

basic

partition

sigma

basic

interval

lex

order

stream

defs

init

string

basic

defs

sum

basic

interval

order

sym

basic

card

sym2

vector

basic

zip

zmod

algebra

basic

parity

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bracket

bundle

char

erased

fin_enum

finmap

hash_map

holor

lazy_list

mllist

opposite

part

pequiv

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quot

rel

semiquot

sign

subtype

tree

two_pointing

typevec

ulift

vector3

deprecated

group

ring

subfield

subgroup

submonoid

subring

dynamics

circle

rotation_number

translation_number

ergodic

conservative

measure_preserving

fixed_points

basic

topology

flow

minimal

omega_limit

periodic_pts

field_theory

finite

basic

galois_field

polynomial

is_alg_closed

algebraic_closure

basic

classification

abel_ruffini

adjoin

cardinality

chevalley_warning

finiteness

fixed

galois

intermediate_field

krull_topology

laurent

minpoly

mv_polynomial

normal

perfect_closure

polynomial_galois_group

primitive_element

ratfunc

separable

separable_degree

splitting_field

subfield

tower

geometry

euclidean

basic

circumcenter

monge_point

oriented_angle

sphere

triangle

manifold

algebra

left_invariant_derivation

lie_group

monoid

smooth_functions

structures

instances

real

sphere

units_of_normed_algebra

bump_function

charted_space

conformal_groupoid

cont_mdiff

cont_mdiff_map

derivation_bundle

diffeomorph

local_invariant_properties

mfderiv

partition_of_unity

smooth_manifold_with_corners

tangent_bundle

whitney_embedding

group_theory

group_action

basic

big_operators

conj_act

defs

embedding

fixing_subgroup

group

opposite

pi

prod

sub_mul_action

units

perm

basic

concrete_cycle

cycle_type

cycles

fin

list

option

sign

subgroup

support

specific_groups

alternating

cyclic

dihedral

quaternion

subgroup

basic

pointwise

submonoid

basic

center

centralizer

inverses

membership

operations

pointwise

subsemigroup

basic

center

centralizer

operations

abelianization

archimedean

commensurable

commutator

commuting_probability

complement

congruence

coset

double_coset

eckmann_hilton

exponent

finiteness

free_abelian_group

free_abelian_group_finsupp

free_group

free_product

index

is_free_group

monoid_localization

nielsen_schreier

nilpotent

noncomm_pi_coprod

order_of_element

p_group

presented_group

quotient_group

schreier

schur_zassenhaus

semidirect_product

solvable

sylow

torsion

transfer

linear_algebra

affine_space

affine_equiv

affine_map

affine_subspace

basic

basis

combination

finite_dimensional

independent

midpoint

ordered

slope

charpoly

basic

to_matrix

clifford_algebra

basic

conjugation

equivs

grading

direct_sum

finsupp

tensor_product

exterior_algebra

basic

grading

free_module

finite

basic

rank

basic

pid

rank

strong_rank_condition

matrix

charpoly

basic

coeff

finite_field

minpoly

absolute_value

adjugate

basis

bilinear_form

block

circulant

determinant

diagonal

dot_product

dual

finite_dimensional

invariant_basis_number

is_diag

mv_polynomial

nondegenerate

nonsingular_inverse

orthogonal

polynomial

reindex

symmetric

to_lin

to_linear_equiv

trace

transvection

zpow

multilinear

basic

basis

finite_dimensional

tensor_product

projective_space

basic

quadratic_form

basic

complex

prod

real

tensor_algebra

basic

grading

adic_completion

alternating

basic

basis

bilinear_form

bilinear_map

coevaluation

contraction

cross_product

determinant

dfinsupp

dimension

dual

eigenspace

finite_dimensional

finsupp

finsupp_vector_space

free_algebra

general_linear_group

invariant_basis_number

isomorphisms

lagrange

linear_independent

linear_pmap

orientation

pi

pi_tensor_product

prod

projection

quotient

ray

sesquilinear_form

smodeq

span

special_linear_group

std_basis

tensor_product

tensor_product_basis

trace

unitary_group

vandermonde

logic

encodable

basic

lattice

small

equiv

basic

embedding

fin

fintype

functor

list

local_equiv

nat

option

set

transfer_instance

function

basic

conjugate

iterate

basic

denumerable

embedding

is_empty

nonempty

nontrivial

relation

relator

small

unique

measure_theory

category

Meas

constructions

borel_space

pi

polish

prod

covering

besicovitch

besicovitch_vector_space

differentiation

vitali

vitali_family

decomposition

jordan

lebesgue

radon_nikodym

signed_hahn

unsigned_hahn

function

ae_eq_fun

ae_eq_of_integral

ae_measurable_order

ae_measurable_sequence

conditional_expectation

continuous_map_dense

convergence_in_measure

egorov

ess_sup

floor

jacobian

l1_space

l2_space

locally_integrable

lp_order

lp_space

simple_func_dense

simple_func_dense_lp

special_functions

strongly_measurable

strongly_measurable_lp

uniform_integrable

group

action

arithmetic

fundamental_domain

integration

measurable_equiv

measure

pointwise

prod

integral

average

bochner

circle_integral

divergence_theorem

exp_decay

integrable_on

integral_eq_improper

interval_integral

lebesgue

mean_inequalities

periodic

set_integral

set_to_l1

torus_integral

vitali_caratheodory

measure

ae_disjoint

ae_measurable

complex

complex_lebesgue

content

finite_measure_weak_convergence

giry_monad

haar

haar_lebesgue

haar_quotient

hausdorff

lebesgue

measure_space

measure_space_def

mutually_singular

null_measurable

open_pos

outer_measure

regular

stieltjes

sub

vector_measure

with_density_vector_measure

probability_mass_function

basic

constructions

monad

card_measurable_space

lattice

measurable_space

measurable_space_def

pi_system

tactic

category

BoolAlg

BoundedDistribLattice

BoundedLattice

BoundedOrder

CompleteLattice

DistribLattice

FinBoolAlg

FinPartialOrder

Frame

Lattice

LinearOrder

NonemptyFinLinOrd

PartialOrder

Preorder

Semilattice

omega_complete_partial_order

filter

archimedean

at_top_bot

bases

basic

cofinite

countable_Inter

ennreal

extr

filter_product

germ

indicator_function

interval

lift

modeq

n_ary

partial

pi

pointwise

small_sets

ultrafilter

hom

basic

bounded

complete_lattice

lattice

order

partition

equipartition

finpartition

succ_pred

basic

relation

antichain

antisymmetrization

atoms

basic

boolean_algebra

bounded

bounded_order

bounds

chain

circular

closure

compactly_generated

compare

complete_boolean_algebra

complete_lattice

complete_lattice_intervals

concept

conditionally_complete_lattice

copy

countable_dense_linear_order

cover

directed

disjointed

extension

fixed_points

galois_connection

grade

ideal

imp

iterate

jordan_holder

lattice

lattice_intervals

liminf_limsup

locally_finite

max

min_max

minimal

modular_lattice

monotone

monovary

omega_complete_partial_order

ord_continuous

order_iso_nat

partial_sups

pfilter

prime_ideal

rel_classes

rel_iso

semiconj_Sup

sup_indep

symm_diff

synonym

upper_lower

well_founded

well_founded_set

zorn

probability

cond_count

conditional

density

ident_distrib

independence

integration

martingale

notation

stopping

variance

representation_theory

Action

Rep

basic

fdRep

invariants

maschke

ring_theory

adjoin

basic

fg

power_basis

coprime

basic

lemmas

dedekind_domain

adic_valuation

basic

dvr

ideal

integral_closure

graded_algebra

basic

homogeneous_ideal

homogeneous_localization

radical

ideal

basic

local_ring

operations

over

prod

quotient

int

basic

localization

as_subring

at_prime

away

basic

cardinality

fraction_ring

ideal

integer

integral

inv_submonoid

localization_localization

module

num_denom

submodule

mv_polynomial

basic

polynomial

cyclotomic

basic

eval

basic

bernstein

chebyshev

content

dickson

eisenstein

gauss_lemma

homogeneous

opposites

pochhammer

rational_root

scale_roots

symmetric

tower

vieta

power_series

basic

well_known

subring

basic

pointwise

subsemiring

basic

pointwise

valuation

basic

extend_to_localization

integers

integral

valuation_ring

valuation_subring

witt_vector

basic

compare

defs

discrete_valuation_ring

domain

frobenius

frobenius_fraction_field

identities

init_tail

is_poly

isocrystal

mul_coeff

mul_p

structure_polynomial

teichmuller

truncated

verschiebung

witt_polynomial

adjoin_root

algebra_tower

algebraic

algebraic_independent

artinian

chain_of_divisors

class_group

derivation

discrete_valuation_ring

discriminant

eisenstein_criterion

euclidean_domain

finiteness

fintype

flat

fractional_ideal

free_comm_ring

free_ring

hahn_series

henselian

integral_closure

integral_domain

integrally_closed

jacobson

jacobson_ideal

laurent_series

local_properties

matrix_algebra

multiplicity

nakayama

nilpotent

noetherian

non_zero_divisors

norm

nullstellensatz

perfection

polynomial_algebra

power_basis

prime

principal_ideal_domain

ring_invo

roots_of_unity

simple_module

tensor_product

trace

unique_factorization_domain

set_theory

cardinal

basic

cofinality

continuum

divisibility

finite

ordinal

game

basic

birthday

domineering

impartial

nim

ordinal

pgame

short

state

winner

ordinal

arithmetic

basic

fixed_point

notation

principal

topology

surreal

basic

dyadic

lists

schroeder_bernstein

zfc

tactic

converter

apply_congr

binders

interactive

old_conv

linarith

datatypes

elimination

frontend

lemmas

parsing

preprocessing

verification

lint

basic

default

frontend

misc

simp

type_classes

monotonicity

basic

interactive

lemmas

nth_rewrite

basic

congr

default

omega

int

dnf

form

main

preterm

nat

dnf

form

main

neg_elim

preterm

sub_elim

clause

coeffs

eq_elim

find_ees

find_scalars

lin_comb

main

misc

prove_unsats

term

rewrite_all

basic

rewrite_search

discovery

explain

frontend

search

types

abel

algebra

alias

apply

apply_fun

auto_cases

binder_matching

by_contra

cache

cancel_denoms

chain

choose

clear

congr

core

dec_trivial

delta_instance

dependencies

derive_fintype

derive_inhabited

doc_commands

elementwise

elide

equiv_rw

explode

explode_widget

ext

field_simp

fin_cases

find

find_unused

finish

fix_reflect_string

fresh_names

generalize_proofs

generalizes

group

has_variable_names

hint

induction

interactive

interactive_expr

interval_cases

itauto

lean_core_docs

lift

linear_combination

local_cache

localized

mk_iff_of_inductive_prop

noncomm_ring

norm_cast

norm_fin

norm_num

norm_swap

observe

obviously

pi_instances

pretty_cases

project_dir

protected

push_neg

rcases

reassoc_axiom

rename_var

replacer

reserved_notation

restate_axiom

rewrite

ring

ring2

ring_exp

scc

show_term

simp_command

simp_result

simp_rw

simpa

simps

slice

slim_check

solve_by_elim

split_ifs

squeeze

subtype_instance

suggest

swap_var

tauto

tfae

tidy

transfer

transform_decl

transport

trunc_cases

unfold_cases

unify_equations

where

with_local_reducibility

wlog

zify

testing

slim_check

functions

gen

sampleable

testable

topology

algebra

module

basic

character_space

locally_convex

multilinear

weak_dual

nonarchimedean

adic_topology

bases

basic

order

basic

compact

extend_from

extr_closure

floor

intermediate_value

left_right

liminf_limsup

monotone_continuity

monotone_convergence

proj_Icc

affine

algebra

const_mul_action

constructions

continuous_affine_map

continuous_monoid_hom

field

filter_basis

group

group_completion

group_with_zero

infinite_sum

localization

monoid

mul_action

open_subgroup

polynomial

ring

semigroup

star

uniform_field

uniform_filter_basis

uniform_group

uniform_mul_action

uniform_ring

valuation

valued_field

with_zero_topology

bornology

basic

constructions

hom

category

CompHaus

default

projective

Profinite

as_limit

cofiltered_limit

default

projective

Top

adjunctions

basic

epi_mono

limits

open_nhds

opens

Born

Compactum

Locale

TopCommRing

UniformSpace

continuous_function

algebra

basic

bounded

cocompact_map

compact

locally_constant

ordered

polynomial

stone_weierstrass

units

weierstrass

zero_at_infty

hom

open

homotopy

basic

contractible

equiv

path

product

instances

discrete

ennreal

ereal

int

irrational

matrix

nat

nnreal

rat

rat_lemmas

real

real_vector_space

locally_constant

algebra

basic

metric_space

algebra

antilipschitz

baire

basic

cau_seq_filter

closeds

completion

contracting

emetric_paracompact

emetric_space

gluing

gromov_hausdorff

gromov_hausdorff_realized

hausdorff_dimension

hausdorff_distance

holder

isometry

kuratowski

lipschitz

metric_separated

metrizable

pi_nat

polish

shrinking_lemma

thickened_indicator

order

hom

basic

esakia

lattice

priestley

sets

closeds

compacts

opens

order

sheaves

sheaf_condition

equalizer_products

opens_le_cover

pairwise_intersections

sites

unique_gluing

forget

functors

limits

local_predicate

presheaf

presheaf_of_functions

sheaf

sheaf_of_functions

sheafify

stalks

spectral

hom

uniform_space

absolute_value

abstract_completion

basic

cauchy

compact_convergence

compact_separated

compare_reals

complete_separated

completion

matrix

pi

separation

uniform_convergence

uniform_convergence_topology

uniform_embedding

G_delta

alexandroff

bases

basic

compact_open

connected

constructions

continuous_on

dense_embedding

discrete_quotient

extend_from

fiber_bundle

gluing

homeomorph

is_locally_homeomorph

list

local_extr

local_homeomorph

maps

nhds_set

omega_complete_partial_order

order

paracompact

partition_of_unity

path_connected

semicontinuous

separation

sequences

shrinking_lemma

sober

stone_cech

subset_properties

support

tactic

tietze_extension

unit_interval

urysohns_bounded

urysohns_lemma

vector_bundle

Color scheme

dark system light