Theorems · Definition
Set.SeparatesPoints
{α : Type u_3} → {β : Type u_4} → Set (α → β) → PropA set of functions "separates points" if for each pair of distinct points there is a function taking different values on them.
- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
Cited by5
Results whose statement or proof uses this declaration.
- Subalgebra.SeparatesPointsproof · cited by 18
- separatesPoints_continuous_of_t35Space_Iccstatement · cited by 1
- separatesPoints_continuous_of_t35Spacestatement · cited by 0
- Set.separatesPoints_monostatement and proof · cited by 0
- Set.separatesPoints_lipschitzWith_onestatement · cited by 0