Structures · Topology
ContinuousConstVAdd
Class ContinuousConstVAdd Γ T says that the additive action (+ᵥ) : Γ → T → T
is continuous in the second argument. We use the same class for all kinds of additive actions,
including (semi)modules and algebras.
Note that both ContinuousConstVAdd α α and ContinuousConstVAdd αᵐᵒᵖ α are
weaker versions of ContinuousVAdd α.
- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Shape
- 2 explicit arguments · adds continuous_const_vadd
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by0
Nothing extends this class yet.
Concrete types that are instances4
- AddUnits
- OrderDual
- ULift
- AddOpposite
How is a type an instance?
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Assumed by123
- Homeomorph.vadd
- ContinuousConstVAdd.continuous_const_vadd
- IsOpen.vadd
- vadd_mem_nhds_vadd_iff
- IsCompact.vadd
- IsClosed.vadd
- subset_interior_add_left
- Topology.IsQuotientMap.trivializationOfVAddDisjoint
- IsOpen.add_right
- Filter.Tendsto.const_vadd
- vadd_mem_nhds_self
- ContinuousAffineEquiv.constVAdd
- interior_vadd
- Continuous.const_vadd
- isOpenMap_quotient_mk'_add
- vadd_mem_nhds_vadd
- IsOpen.vadd_left
- ProperlyDiscontinuousVAdd.exists_nhds_image_vadd_eq_self
- ContinuousWithinAt.const_vadd
- IsOpen.add_left
- vadd_closure_subset
- Topology.IsQuotientMap.isCoveringMapOn_of_vadd_disjoint
- AddAction.isOpenQuotientMap_quotientMk
- tendsto_const_vadd_iff
- AddAction.IsPretransitive.discreteTopology_iff
- closure_vadd
- MeasureTheory.StronglyMeasurable.const_vadd
- subset_interior_vadd_right
- isOpenMap_vadd
- Homeomorph.vadd_symm_apply
- MeasureTheory.measure_isOpen_pos_of_vaddInvariant_of_compact_ne_zero
- ProperlyDiscontinuousVAdd.ofFiniteRelIndex
- AddSubgroup.properlyDiscontinuousVAdd_iff_of_isFiniteRelIndex
- Topology.IsQuotientMap.isAddQuotientCoveringMap_of_properlyDiscontinuousVAdd
- add_singleton_mem_nhds_of_nhds_zero
- Continuous.fun_const_vadd
- singleton_add_mem_nhds_of_nhds_zero
- continuousWithinAt_const_vadd_iff
- add_singleton_mem_nhds
- singleton_add_mem_nhds
- MeasureTheory.measure_isOpen_pos_of_vaddInvariant_of_ne_zero
- MeasureTheory.measure_pos_iff_nonempty_of_vaddInvariant
- MeasureTheory.StronglyMeasurable.fun_const_vadd
- ContinuousOn.const_vadd
- IsCompact.exists_finite_cover_vadd
- AddAction.IsPretransitive.t1Space_iff
- Topology.IsQuotientMap.isCoveringMapOn_of_properlyDiscontinuousVAdd
- Homeomorph.vadd_apply
- isClosedMap_vadd
- MeasureTheory.AEStronglyMeasurable.fun_const_vadd
Ancestors0
No ancestors.