Theorems · Definition · logic and foundations
Equiv.Set.singleton
{α : Type u_3} → (a : α) → ↑{a} ≃ PUnit.{u}A singleton set is equivalent to a PUnit type.
- Defined in
- Mathlib.Logic.Equiv.Set
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.mem_singletonproof · cited by 183
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Set.insertproof · cited by 6
- MeasurableEquiv.Set.singletonproof · cited by 0