Theorems · Theorem · combinatorics
Set.powersetCard.card_eq
∀ {α : Type u_1} {n : ℕ} (s : ↑(Set.powersetCard α n)), (↑s).card = n- Defined in
- Mathlib.Data.Set.PowersetCard
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- Set.Elemstatement and proof · cited by 7,166
- Finset.cardstatement · cited by 2,327
- Subtype.propproof · cited by 505
- Set.powersetCardstatement and proof · cited by 100
Cited by2
Results whose statement or proof uses this declaration.
- ExteriorAlgebra.basis_apply_powersetCardproof · cited by 3
- Set.powersetCard.coe_nontrivial_iffproof · cited by 0