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Theorems · Theorem · general topology

t0Space_of_injective_of_continuous

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  Function.Injective f → Continuous f → ∀ [T0Space Y], T0Space X
Defined in
Mathlib.Topology.Separation.Basic
Cited by
1 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceT0Space
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Topology.IsEmbedding.t0Space · cited by 5IsEmbedding.t0SpaceTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousT0Space · cited by 179T0SpaceInseparable · cited by 160InseparableInseparable.eq · cited by 19Inseparable.eqInseparable.map · cited by 15Inseparable.mapt0Space_of_injective_of_conti…CITED BYCITES

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