Theorems · Theorem · group theory
Set.image_div_left
∀ {α : Type u_2} [inst : Group α] {t : Set α} {a : α}, (fun x => a / x) '' t = (fun x => x⁻¹ * a) ⁻¹' t- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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
- Groupstatement and proof · cited by 6,238
- Set.imagestatement · cited by 5,609
- Set.preimagestatement and proof · cited by 4,946
- inv_invproof · cited by 494
- inv_divproof · cited by 92
- div_mul_cancelproof · cited by 33
- Set.image_eq_preimage_of_inverseproof · cited by 27
- div_mul_cancel_rightproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Set.preimage_inv_mul_right_singletonproof · cited by 1
- Filter.map_divLeft_nhdsNEproof · cited by 0