Theorems · Theorem · order theory
Finset.univ_nonempty
∀ {α : Type u_1} [inst : Fintype α] [Nonempty α], Finset.univ.Nonempty- Defined in
- Mathlib.Data.Finset.BooleanAlgebra
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement · cited by 3,473
- Finset.Nonemptystatement · cited by 1,001
- Finset.univ_nonempty_iffproof · cited by 2
Cited by52
Results whose statement or proof uses this declaration.
- Module.Basis.normproof · cited by 10
- PMF.uniformOfFintypeproof · cited by 6
- exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensionalproof · cited by 5
- Affine.Simplex.excenterWeights_empty_posproof · cited by 4
- Module.Basis.norm_extendsproof · cited by 3
- InfClosed.iInf_mem_of_nonemptyproof · cited by 3
- Matrix.BlockTriangular.detproof · cited by 3
- NumberField.house_eq_sup'statement and proof · cited by 2
- NumberField.mixedEmbedding.norm_eq_sup'_normAtPlacestatement and proof · cited by 2
- NumberField.InfinitePlace.one_le_of_lt_oneproof · cited by 2
- AkraBazziRecurrence.T_posproof · cited by 2
- Matrix.linfty_opNNNorm_eq_opNNNormproof · cited by 2