Theorems · Theorem · order theory
Set.Finite.exists_notMem
∀ {α : Type u} {s : Set α} [Infinite α], s.Finite → ∃ a, a ∉ s- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.univproof · cited by 3,945
- Set.Finitestatement and proof · cited by 1,814
- Infinitestatement and proof · cited by 352
- Set.Finite.subsetproof · cited by 285
- Set.infinite_univproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Finset.exists_notMemproof · cited by 1