Theorems · Theorem · combinatorics
Fintype.card_embedding_eq
∀ {α : Type u_1} {β : Type u_2} [inst : Fintype α] [inst_1 : Fintype β] [emb : Fintype (α ↪ β)],
Fintype.card (α ↪ β) = (Fintype.card β).descFactorial (Fintype.card α)- Defined in
- Mathlib.Data.Fintype.CardEmbedding
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivproof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Set.Elemproof · cited by 7,166
- Finset.sumproof · cited by 5,195
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- Finset.univproof · cited by 3,473
- Compl.complproof · cited by 2,925
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- Fintype.cardstatement and proof · cited by 1,386
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousMultilinearMap.norm_iteratedFDeriv_le'proof · cited by 1