Theorems · Definition · combinatorics
Set.powersetCard.ofFinEmb
(n : ℕ) → (β : Type u_2) → (Fin n ↪ β) → ↑(Set.powersetCard β n)
The image of an embedding f : Fin n ↪ β as an element of powersetCard β n.
- Defined in
- Mathlib.Data.Set.PowersetCard
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement · cited by 13,712
- Set.Elemstatement · cited by 7,166
- Finset.univproof · cited by 3,473
- Function.Embeddingstatement and proof · cited by 988
- Set.powersetCardstatement · cited by 100
- Set.powersetCard.mapproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- Set.powersetCard.ofFinEmbEquivproof · cited by 11
- Set.powersetCard.mulActionHom_of_embeddingproof · cited by 2
- Set.powersetCard.addActionHom_of_embeddingproof · cited by 2
- Set.powersetCard.coe_ofFinEmbstatement · cited by 1
- Set.powersetCard.mem_ofFinEmb_iff_mem_rangestatement · cited by 0
- Set.powersetCard.val_ofFinEmbstatement · cited by 0
- Set.powersetCard.ofFinEmbEquiv_applystatement · cited by 0
- Set.powersetCard.ofFinEmb_surjectivestatement and proof · cited by 0