Theorems · Theorem · order theory
Set.finite_univ
∀ {α : Type u} [Finite α], Set.univ.Finite- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 52 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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.
- Set.univstatement and proof · cited by 3,945
- Finitestatement and proof · cited by 3,029
- Set.Finitestatement · cited by 1,814
- Set.toFiniteproof · cited by 174
Cited by52
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.finite_preimage_singletonproof · cited by 5
- Summable.of_finiteproof · cited by 4
- Pell.exists_of_not_isSquareproof · cited by 3
- iInf_iSup_of_monotoneproof · cited by 3
- Ideal.finite_setOfPred_absNorm_eqproof · cited by 3
- iSup_iInf_of_monotoneproof · cited by 3
- MulAction.IsMultiplyPretransitive.index_of_fixingSubgroup_mulproof · cited by 2
- MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equivproof · cited by 2
- ZLattice.exists_forall_abs_repr_le_normproof · cited by 2
- Finite.wellQuasiOrderedproof · cited by 2
- LinearMap.iSup_range_singleproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.interior_paramSetproof · cited by 1