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Theorems · Theorem · general topology

Homeomorph.t1Space

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T1Space X] (h : X ≃ₜ Y),
  T1Space Y
Defined in
Mathlib.Topology.Separation.Basic
Cited by
2 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceT1Space
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Around this declaration

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

AlgebraicGeometry.isField_of_isIntegral_of_subsingleton · cited by 1AlgebraicGeometry.isField…FiberBundle.t1Space · cited by 0FiberBundle.t1SpaceTopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphHomeomorph.symm · cited by 365Homeomorph.symmT1Space · cited by 275T1SpaceHomeomorph.isEmbedding · cited by 73Homeomorph.isEmbeddingTopology.IsEmbedding.t1Space · cited by 3IsEmbedding.t1SpaceHomeomorph.t1SpaceCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.