Theorems · Theorem · group theory
Set.image_add_right
∀ {α : Type u_2} [inst : AddGroup α] {t : Set α} {b : α}, (fun x => x + b) '' t = (fun x => x + -b) ⁻¹' t- Cited by
- 37 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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
- Set.imagestatement · cited by 5,609
- Set.preimagestatement and proof · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- neg_add_cancel_rightproof · cited by 75
- add_neg_cancel_rightproof · cited by 65
- Set.image_eq_preimage_of_inverseproof · cited by 27
Cited by37
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.addHaar_affineSubspaceproof · cited by 4
- Set.image_add_right'proof · cited by 4
- AnalyticOn.hasFPowerSeriesOnSubballproof · cited by 2
- MeromorphicOn.meromorphicOn_comp_add_const_iff_meromorphicOnproof · cited by 2
- MeromorphicOn.divisor_comp_add_const_eq_divisorproof · cited by 2
- AddSubgroup.set_add_normalizer_commproof · cited by 2
- Finset.image_add_rightproof · cited by 1
- CStarAlgebra.convexOn_ringInverse_algebraMap_addproof · cited by 1
- closure_subset_add_left_of_mem_nhds_zero_of_negproof · cited by 1
- HasFPowerSeriesWithinOnBall.comp_subproof · cited by 1
- MeasureTheory.Measure.IsEverywherePos.IsGdelta_of_isAddLeftInvariantproof · cited by 1
- ProperlyDiscontinuousVAdd.ofFiniteRelIndexproof · cited by 1