Theorems · Theorem · combinatorics
Finset.coe_univ
∀ {α : Type u_1} [inst : Fintype α], ↑Finset.univ = Set.univ- Defined in
- Mathlib.Data.Fintype.Defs
- Cited by
- 101 results in Mathlib
- Foundations
- Depth 57 from the axioms, rests on 810 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- SetLike.coestatement · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.univstatement · cited by 3,945
- Finset.univstatement · cited by 3,473
- Set.extproof · cited by 2,266
Cited by103
Results whose statement or proof uses this declaration.
- Module.Finite.of_basisproof · cited by 22
- Matrix.det_fromBlocks_zero₂₁proof · cited by 10
- LinearIndependent.pair_iffproof · cited by 10
- AffineIndependent.finrank_vectorSpanproof · cited by 9
- Finset.powerset_univproof · cited by 6
- affineIndependent_iff_eq_of_fintype_affineCombination_eqproof · cited by 5
- Nat.Partition.hasProd_genFunproof · cited by 4
- LinearIndependent.pair_iff'proof · cited by 4
- Fintype.card_lt_of_injective_of_notMemproof · cited by 4
- Fin.Ioi_zero_eq_mapproof · cited by 3
- Function.Embedding.exists_of_card_eq_finsetproof · cited by 3
- Affine.Simplex.face_centroid_eq_centroidproof · cited by 3