Theorems · Theorem · logic and foundations
Nat.card_eq_finsetCard
∀ {α : Type u_1} (s : Finset α), Nat.card ↥s = s.card- Defined in
- Mathlib.SetTheory.Cardinal.Finite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, 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.
- Finsetstatement and proof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- Nat.cardstatement · cited by 844
- Nat.card_eq_fintype_cardproof · cited by 200
- Fintype.card_coeproof · cited by 72
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.index_le_of_leftCoset_cover_constproof · cited by 1
- Subgroup.index_le_of_leftCoset_cover_constproof · cited by 1
- Finset.doubling_lt_three_halvesproof · cited by 0