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Theorems · Theorem · general topology

IsDenseInducing.toIsInducing

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {i : α → β},
  IsDenseInducing i → Topology.IsInducing i
Defined in
Mathlib.Topology.DenseEmbedding
Cited by
4 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsDenseInducing.isInducing · cited by 9IsDenseInducing.isInducinghasSum_iff_hasSum_compl · cited by 1hasSum_iff_hasSum_complsummable_iff_summable_compl_and_tsum_mem · cited by 1summable_iff_summable_com…IsDenseEmbedding.isEmbedding · cited by 1IsDenseEmbedding.isEmbedd…TopologicalSpace · cited by 24529TopologicalSpaceTopology.IsInducing · cited by 266Topology.IsInducingIsDenseInducing · cited by 56IsDenseInducingIsDenseInducing.toIsInducingCITED BYCITES

Cites3

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Cited by4

Results whose statement or proof uses this declaration.