Theorems · Theorem · order theory
Set.infinite_univ_iff
∀ {α : Type u}, Set.univ.Infinite ↔ Infinite α- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Infinitestatement and proof · cited by 352
- Set.Infinitestatement · cited by 263
- Set.finite_univ_iffproof · cited by 10
- not_finite_iff_infiniteproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Set.infinite_univproof · cited by 13
- Polynomial.dickson_one_one_zmod_pproof · cited by 1
- PreconnectedSpace.infiniteproof · cited by 0