Theorems · Theorem · combinatorics
Finset.subset_univ
∀ {α : Type u_1} [inst : Fintype α] (s : Finset α), s ⊆ Finset.univ- Defined in
- Mathlib.Data.Fintype.Defs
- Cited by
- 60 results in Mathlib
- Foundations
- Depth 56 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.
Cites4
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
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement · cited by 3,473
- Finset.mem_univproof · cited by 361
Cited by60
Results whose statement or proof uses this declaration.
- Finset.card_le_univproof · cited by 32
- Finsupp.sum_fintypeproof · cited by 32
- Fintype.linearIndependent_iffproof · cited by 17
- eq_affineCombination_of_mem_affineSpan_of_fintypeproof · cited by 14
- Matrix.det_fromBlocks_zero₂₁proof · cited by 10
- finsum_eq_sum_of_fintypeproof · cited by 8
- Finset.eq_univ_of_cardproof · cited by 5
- affineIndependent_iff_eq_of_fintype_affineCombination_eqproof · cited by 5
- Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_faceproof · cited by 4
- Fintype.sum_subsetproof · cited by 4
- Finsupp.prod_fintypeproof · cited by 4
- Matrix.det_blockDiagonalproof · cited by 4