Theorems · Theorem · group theory
Set.image_mul_right
∀ {α : Type u_2} [inst : Group α] {t : Set α} {b : α}, (fun x => x * b) '' t = (fun x => x * b⁻¹) ⁻¹' t- Cited by
- 24 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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.
- 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_mul_cancel_rightproof · cited by 70
- mul_inv_cancel_rightproof · cited by 53
- Set.image_eq_preimage_of_inverseproof · cited by 27
Cited by24
Results whose statement or proof uses this declaration.
- Set.image_mul_right'proof · cited by 3
- Subgroup.set_mul_normalizer_commproof · cited by 2
- Finset.image_mul_rightproof · cited by 1
- Subgroup.smul_opposite_image_mul_preimage'proof · cited by 1
- Set.image_div_const_Iioproof · cited by 1
- Set.image_div_const_Ioiproof · cited by 1
- isOpenMap_smul_of_sigmaCompactproof · cited by 1
- ProperlyDiscontinuousSMul.ofFiniteRelIndexproof · cited by 1
- closure_subset_mul_left_of_mem_nhds_one_of_invproof · cited by 1
- MeasureTheory.Measure.IsEverywherePos.IsGdelta_of_isMulLeftInvariantproof · cited by 1
- Subgroup.subgroup_mul_singletonproof · cited by 1
- Set.image_mul_const_Iicproof · cited by 1