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Theorems · Theorem · general topology

OpenPartialHomeomorph.open_source

∀ {X : Type u_7} {Y : Type u_8} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (self : OpenPartialHomeomorph X Y), IsOpen self.source
Defined in
Mathlib.Topology.OpenPartialHomeomorph.Defs
Cited by
65 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpace

Around this declaration

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

OpenPartialHomeomorph.symm · cited by 460OpenPartialHomeomorph.symmOpenPartialHomeomorph.trans · cited by 98OpenPartialHomeomorph.tra…OpenPartialHomeomorph.continuousAt · cited by 23OpenPartialHomeomorph.con…chart_source_mem_nhds · cited by 9chart_source_mem_nhdsOpenPartialHomeomorph.trans' · cited by 8OpenPartialHomeomorph.tra…OpenPartialHomeomorph.eventually_left_inverse · cited by 7OpenPartialHomeomorph.eve…OpenPartialHomeomorph.transHomeomorph · cited by 7OpenPartialHomeomorph.tra…IsLocalHomeomorph.isLocallyInjective · cited by 6IsLocalHomeomorph.isLocal…IsLocalHomeomorphOn.mk · cited by 5IsLocalHomeomorphOn.mkOpenPartialHomeomorph.isOpen_inter_preimage · cited by 4OpenPartialHomeomorph.isO…OpenPartialHomeomorph.MDifferentiable.mdifferentiableAt · cited by 4MDifferentiable.mdifferen…contMDiffAt_of_mem_maximalAtlas · cited by 4contMDiffAt_of_mem_maxima…OpenPartialHomeomorph.restr_source_inter · cited by 4OpenPartialHomeomorph.res…IsCoveringMap.isSeparatedMap · cited by 4IsCoveringMap.isSeparated…OpenPartialHomeomorph.isOpen_extend_source · cited by 3OpenPartialHomeomorph.isO…TopologicalSpace · cited by 24529TopologicalSpaceIsOpen · cited by 2400IsOpenPartialEquiv.source · cited by 964PartialEquiv.sourcePartialHomeomorph.toPartialEquiv · cited by 917PartialHomeomorph.toParti…OpenPartialHomeomorph.toPartialHomeomorph · cited by 851OpenPartialHomeomorph.toP…OpenPartialHomeomorph · cited by 664OpenPartialHomeomorphOpenPartialHomeomorph.open_so…CITED BYCITES

Cites6

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Cited by71

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