Theorems · Theorem · order theory
Set.Finite.fin_param
∀ {α : Type u} {s : Set α}, s.Finite → ∃ n f, Function.Injective f ∧ Set.range f = s- Defined in
- Mathlib.Data.Set.Finite.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.rangestatement and proof · cited by 4,705
- Set.Finitestatement and proof · cited by 1,814
- Function.Embeddingproof · cited by 988
- Function.Embedding.injectiveproof · cited by 111
- Set.Finite.fin_embeddingproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.vietoris.isPreconnected_nonempty_finite_subsetsproof · cited by 1