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Theorems · Theorem · general topology

Homeomorph.vadd_apply

∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : AddGroup G] [inst_2 : AddAction G α]
  [inst_3 : ContinuousConstVAdd G α] (γ : G) (x : α), (Homeomorph.vadd γ) x = γ +ᵥ x
Defined in
Mathlib.Topology.Algebra.ConstMulAction
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceAddGroupAddActionContinuousConstVAdd
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Around this declaration

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IsTopologicalAddGroup.isOpenMap_iff_nhds_zero · cited by 0IsTopologicalAddGroup.isO…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceAddGroup · cited by 4410AddGroupHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddAction · cited by 820AddActionHomeomorph · cited by 725HomeomorphContinuousConstVAdd · cited by 97ContinuousConstVAddHomeomorph.vadd · cited by 14Homeomorph.vaddHomeomorph.vadd_applyCITED BYCITES

Cites8

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Cited by1

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