Theorems · Definition · general topology
DenseRange.some
{X : Type u_1} → [inst : TopologicalSpace X] → {α : Type u_4} → {f : α → X} → DenseRange f → X → αGiven a function f : X → Y with dense range and y : Y, returns some x : X.
- Defined in
- Mathlib.Topology.Continuous
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- DenseRangestatement and proof · cited by 164
Cited by2
Results whose statement or proof uses this declaration.
- AbstractCompletion.extendproof · cited by 12
- AbstractCompletion.uniformContinuous_extendproof · cited by 5