Theorems · Theorem · combinatorics
Finset.mem_univ
∀ {α : Type u_1} [inst : Fintype α] (x : α), x ∈ Finset.univ- Defined in
- Mathlib.Data.Fintype.Defs
- Cited by
- 361 results in Mathlib
- Foundations
- Depth 55 from the axioms, rests on 809 definitions · 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 · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement · cited by 3,473
- Fintype.completeproof · cited by 192
Cited by366
Results whose statement or proof uses this declaration.
- Equiv.Perm.signproof · cited by 138
- Finset.univ_uniqueproof · cited by 94
- Fintype.piFinsetproof · cited by 86
- Finset.subset_univproof · cited by 60
- Matrix.det_mulproof · cited by 51
- Equiv.Perm.mem_supportproof · cited by 51
- tsum_fintypeproof · cited by 38
- Matrix.det_diagonalproof · cited by 27
- Fintype.card_le_of_injectiveproof · cited by 19
- Fintype.sum_eq_singleproof · cited by 16
- MultilinearMap.dfinsuppFamilyproof · cited by 13
- Fintype.sum_bijectiveproof · cited by 13
Showing the 200 most cited of 366.