Mathlib Map

Theorems · Theorem · general topology

StableUnderGeneralization.image

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  GeneralizingMap f → ∀ {s : Set X}, StableUnderGeneralization s → StableUnderGeneralization (f '' s)

Alias of GeneralizingMap.stableUnderGeneralization_image.

Defined in
Mathlib.Topology.Inseparable
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

PrimeSpectrum.isOpenMap_comap_of_hasGoingDown_of_finitePresentation · cited by 2PrimeSpectrum.isOpenMap_c…GeneralizingMap.stableUnderGeneralization_range · cited by 0GeneralizingMap.stableUnd…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.image · cited by 5609Set.imageStableUnderGeneralization · cited by 24StableUnderGeneralizationGeneralizingMap · cited by 16GeneralizingMapGeneralizingMap.stableUnderGeneralization_image · cited by 2GeneralizingMap.stableUnd…StableUnderGeneralization.ima…CITED BYCITES

Cites6

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.