Theorems · Theorem · combinatorics
Set.coe_toFinset
∀ {α : Type u_1} (s : Set α) [inst : Fintype ↑s], ↑s.toFinset = s- Defined in
- Mathlib.Data.Fintype.Sets
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- Set.extproof · cited by 2,266
- Set.toFinsetstatement · cited by 217
- Set.mem_toFinsetproof · cited by 47
Cited by51
Results whose statement or proof uses this declaration.
- Set.Finite.coe_toFinsetproof · cited by 124
- SimpleGraph.coe_edgeFinsetproof · cited by 10
- SimpleGraph.coe_neighborFinsetproof · cited by 9
- Set.toFinset_image2proof · cited by 5
- SimpleGraph.coe_incidenceFinsetproof · cited by 4
- Set.disjoint_toFinsetproof · cited by 4
- Set.Finite.exists_finset_coeproof · cited by 3
- exists_finset_linearIndependent_of_le_rankproof · cited by 3
- Set.toFinset_imageproof · cited by 3
- Set.toFinset_injproof · cited by 3
- Subgroup.rank_closure_finite_le_nat_cardproof · cited by 2
- Nat.bijOn_ofDigits'proof · cited by 2