Theorems · Theorem · combinatorics
Infinite.exists_notMem_finset
∀ {α : Type u_1} [Infinite α] (s : Finset α), ∃ x, x ∉ s- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Infinitestatement and proof · cited by 352
- Fintype.falseproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- YoungDiagram.exists_notMem_rowproof · cited by 5
- Infinite.exists_superset_card_eqproof · cited by 3
- Field.primitive_element_inf_aux_exists_cproof · cited by 1