Mathlib Map

Theorems · Theorem · general topology

isOpenMap_smul

∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : Group G] [inst_2 : MulAction G α]
  [ContinuousConstSMul G α] (c : G), IsOpenMap fun x => c • x
Defined in
Mathlib.Topology.Algebra.ConstMulAction
Cited by
3 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceGroupMulActionContinuousConstSMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsOpen.smul · cited by 5IsOpen.smulisOpenMap_quotient_mk'_mul · cited by 3isOpenMap_quotient_mk'_mulIsUnit.isOpenMap_smul · cited by 0IsUnit.isOpenMap_smulTopologicalSpace · cited by 24529TopologicalSpaceGroup · cited by 6238GroupMulAction · cited by 1294MulActionContinuousConstSMul · cited by 832ContinuousConstSMulIsOpenMap · cited by 253IsOpenMapHomeomorph.isOpenMap · cited by 30Homeomorph.isOpenMapHomeomorph.smul · cited by 21Homeomorph.smulisOpenMap_smulCITED BYCITES

Cites7

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

Cited by3

Results whose statement or proof uses this declaration.