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Theorems · Theorem · Lie groups

isOpenMap_div_left

∀ {G : Type w} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] (a : G), IsOpenMap fun x => a / x
Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupTopologicalSpaceIsTopologicalGroup
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Around this declaration

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

IsOpen.div_left · cited by 1IsOpen.div_leftTopologicalSpace · cited by 24529TopologicalSpaceGroup · cited by 6238GroupIsTopologicalGroup · cited by 469IsTopologicalGroupIsOpenMap · cited by 253IsOpenMapHomeomorph.isOpenMap · cited by 30Homeomorph.isOpenMapHomeomorph.divLeft · cited by 10Homeomorph.divLeftisOpenMap_div_leftCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.