Theorems · Theorem · order theory
Finite.of_finite_univ
∀ {α : Type u}, Set.univ.Finite → Finite αAlias of the forward direction of Set.finite_univ_iff.
- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses 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.
- Set.univstatement · cited by 3,945
- Finitestatement · cited by 3,029
- Set.Finitestatement · cited by 1,814
- Set.finite_univ_iffproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- finite_of_compact_of_discreteproof · cited by 6
- FirstOrder.Language.Structure.FG.finiteproof · cited by 3
- finite_of_span_finite_eq_top_finsuppproof · cited by 2
- TopologicalSpace.NoetherianSpace.finiteproof · cited by 0