Theorems · Theorem · order theory
Set.Finite.powerset
∀ {α : Type u} {s : Set α}, s.Finite → (𝒫 s).Finite- Defined in
- Mathlib.Data.Set.Finite.Powerset
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 53,352
- Set.Finitestatement and proof · cited by 1,814
- Set.powersetstatement · cited by 67
- Set.Finite.finite_subsetsproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- TotallyBounded.powerset_hausdorffproof · cited by 3
- finprod_mem_powerset_insertproof · cited by 1
- finsum_mem_powerset_insertproof · cited by 1
- Filter.eq_principal_of_finiteproof · cited by 1
- Set.ncard_powersetproof · cited by 0