Theorems · Theorem · combinatorics
Set.powersetCard.mem_iff
∀ {α : Type u_1} {n : ℕ} {s : Finset α}, s ∈ Set.powersetCard α n ↔ s.card = n- Defined in
- Mathlib.Data.Set.PowersetCard
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
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 and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- Set.mem_ofPred_eqproof · cited by 122
- Set.powersetCardstatement · cited by 100
Cited by2
Results whose statement or proof uses this declaration.
- Set.powersetCard.exists_mem_notMemproof · cited by 2
- Set.powersetCard.exist_mem_powersetCard_of_infproof · cited by 0