Mathlib Map

Theorems · Theorem · general topology

isOpenMap_vadd

∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : AddGroup G] [inst_2 : AddAction G α]
  [ContinuousConstVAdd G α] (c : G), IsOpenMap fun x => c +ᵥ x
Defined in
Mathlib.Topology.Algebra.ConstMulAction
Cited by
2 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddGroupAddActionContinuousConstVAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsOpen.vadd · cited by 6IsOpen.vaddisOpenMap_quotient_mk'_add · cited by 3isOpenMap_quotient_mk'_addTopologicalSpace · cited by 24529TopologicalSpaceAddGroup · cited by 4410AddGroupHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddAction · cited by 820AddActionIsOpenMap · cited by 253IsOpenMapContinuousConstVAdd · cited by 97ContinuousConstVAddHomeomorph.isOpenMap · cited by 30Homeomorph.isOpenMapHomeomorph.vadd · cited by 14Homeomorph.vaddisOpenMap_vaddCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.