Theorems · Theorem · group theory
Set.singleton_add
∀ {α : Type u_2} [inst : Add α] {t : Set α} {a : α}, {a} + t = (fun x => a + x) '' t- Cited by
- 23 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- Add
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 · cited by 5,609
- Set.addstatement · cited by 338
- Set.image2_singleton_leftproof · cited by 15
Cited by23
Results whose statement or proof uses this declaration.
- MeasureTheory.addHaar_image_le_mul_of_det_ltproof · cited by 4
- singleton_add_ballproof · cited by 4
- singleton_add_closedBallproof · cited by 4
- spectrum.singleton_add_eqproof · cited by 4
- singleton_add_sphereproof · cited by 3
- MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smulproof · cited by 3
- MeasureTheory.Measure.addHaar_submoduleproof · cited by 3
- ApproximatesLinearOn.norm_fderiv_sub_leproof · cited by 3
- QuotientAddGroup.preimage_mk_zeroproof · cited by 2
- StrictConvex.addproof · cited by 2
- StrictConvex.add_leftproof · cited by 2
- eventually_singleton_add_smul_subsetproof · cited by 1