Theorems · Theorem · general topology
IsUniformInducing.isDenseInducing
∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] {f : α → β},
IsUniformInducing f → DenseRange f → IsDenseInducing f- Cited by
- 11 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- Topology.IsInducingproof · cited by 266
- DenseRangestatement and proof · cited by 164
- IsUniformInducingstatement and proof · cited by 128
- IsDenseInducingstatement · cited by 56
- IsUniformInducing.isInducingproof · cited by 23
Cited by11
Results whose statement or proof uses this declaration.
- uniformContinuous_uniformly_extendstatement and proof · cited by 6
- ContinuousLinearMap.extend_eqproof · cited by 5
- MvPolynomial.toMvPowerSeries_isDenseInducingproof · cited by 4
- uniformly_extend_existsproof · cited by 3
- uniformly_extend_specstatement · cited by 2
- Complex.uniformContinuous_ringHom_eq_id_or_conjproof · cited by 1
- Padic.isDenseInducing_cast_withValproof · cited by 1
- uniformly_extend_of_indstatement and proof · cited by 1
- uniformly_extend_uniquestatement and proof · cited by 1
- IsDenseInducing.isUniformInducing_extendproof · cited by 1
- CauchyFilter.isDenseInducing_pureCauchyproof · cited by 0