Theorems · Theorem · combinatorics
Finite.of_injective_finite_range
∀ {α : Type u} {ι : Sort w} {f : ι → α}, Function.Injective f → ∀ [Finite ↑(Set.range f)], Finite ι- Defined in
- Mathlib.Data.Finite.Set
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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.
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Finitestatement and proof · cited by 3,029
- Set.mem_range_selfproof · cited by 328
- Set.rangeFactorizationproof · cited by 56
- Finite.of_injectiveproof · cited by 32
- Function.Injective.codRestrictproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- WellFoundedGT.finite_of_iSupIndepproof · cited by 3
- WellFoundedLT.finite_of_iSupIndepproof · cited by 1
- FiniteField.unitsMap_norm_surjectiveproof · cited by 1