Theorems · Theorem · order theory
Function.Injective.image_injective
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → Function.Injective (Set.image f)- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, 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.
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Set.preimage_image_eqproof · cited by 87
Cited by33
Results whose statement or proof uses this declaration.
- Set.image_injectiveproof · cited by 15
- Equiv.eq_image_iff_symm_image_eqproof · cited by 5
- TopologicalSpace.NonemptyCompacts.map_injectiveproof · cited by 3
- Fin.image_castAdd_Ioiproof · cited by 3
- Fin.image_castLE_Iccproof · cited by 3
- Fin.image_castLE_Icoproof · cited by 3
- Fin.image_castLE_Iicproof · cited by 3
- Fin.image_castLE_Iioproof · cited by 3
- Fin.image_castLE_Iocproof · cited by 3
- Fin.image_castLE_Iooproof · cited by 3
- Fin.image_castLE_uIccproof · cited by 3
- Subtype.preimage_coe_eq_preimage_coe_iffproof · cited by 2