Theorems · Theorem · logic and foundations
Set.powerset_univ
∀ {α : Type u}, 𝒫 Set.univ = Set.univ- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.univstatement · cited by 3,945
- Set.subset_univproof · cited by 228
- Set.eq_univ_of_forallproof · cited by 80
- Set.powersetstatement · cited by 67
Cited by4
Results whose statement or proof uses this declaration.
- Finset.powerset_univproof · cited by 6
- Filter.smallSets_iInfproof · cited by 1
- Filter.eq_principal_of_finiteproof · cited by 1
- Filter.smallSets_topproof · cited by 0