Theorems · Theorem · group theory
Set.image_sub_left
∀ {α : Type u_2} [inst : AddGroup α] {t : Set α} {a : α}, (fun x => a - x) '' t = (fun x => -x + a) ⁻¹' t- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 5,609
- Set.preimagestatement and proof · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- neg_negproof · cited by 960
- sub_add_cancelproof · cited by 344
- neg_subproof · cited by 272
- Set.image_eq_preimage_of_inverseproof · cited by 27
- sub_add_cancel_rightproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- Set.preimage_neg_add_right_singletonproof · cited by 1
- Filter.map_subLeft_nhdsNEproof · cited by 0