Theorems · Theorem · combinatorics
Finset.powerset_eq_univ
∀ {α : Type u_1} [inst : Fintype α] {s : Finset α}, s.powerset = Finset.univ ↔ s = Finset.univ- Defined in
- Mathlib.Data.Fintype.Powerset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.powersetstatement and proof · cited by 93
- Finset.powerset_univproof · cited by 6
- Finset.powerset_injproof · cited by 2
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