Theorems · Theorem · combinatorics
not_injective_infinite_finite
∀ {α : Sort u_4} {β : Sort u_5} [Infinite α] [Finite β] (f : α → β), ¬Function.Injective f- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- Infinitestatement and proof · cited by 352
- Finite.of_injectiveproof · cited by 32
- Finite.falseproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- Finite.exists_ne_map_eq_of_infiniteproof · cited by 5
- Set.not_injOn_infinite_finite_imageproof · cited by 4
- Set.infinite_iUnionproof · cited by 3
- CharP.char_ne_zero_of_finiteproof · cited by 3
- Function.Injective.mem_periodicPtsproof · cited by 1
- SimpleGraph.chromaticNumber_top_eq_top_of_infiniteproof · cited by 1
- WType.infinite_of_nonempty_of_isEmptyproof · cited by 0