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Theorems · Theorem · Lie groups

isClosedMap_mul_left

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [SeparatelyContinuousMul G] (a : G),
  IsClosedMap fun x => a * x
Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceGroupSeparatelyContinuousMul
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Around this declaration

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

IsClosed.leftCoset · cited by 1IsClosed.leftCosetTopologicalSpace · cited by 24529TopologicalSpaceGroup · cited by 6238GroupIsClosedMap · cited by 138IsClosedMapSeparatelyContinuousMul · cited by 133SeparatelyContinuousMulHomeomorph.isClosedMap · cited by 18Homeomorph.isClosedMapHomeomorph.mulLeft · cited by 14Homeomorph.mulLeftisClosedMap_mul_leftCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.