Theorems · Theorem · group theory
Set.preimage_vadd_neg
∀ {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddAction α β] (a : α) (t : Set β),
(fun x => -a +ᵥ x) ⁻¹' t = a +ᵥ t- Cited by
- 10 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.preimagestatement · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- Set.preimage_vaddproof · cited by 14
- toAddUnitsproof · cited by 8
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_vaddproof · cited by 11
- MeasureTheory.NullMeasurableSet.vaddproof · cited by 5
- IsCompact.locallyCompactSpace_of_mem_nhds_of_addGroupproof · cited by 5
- totallyBounded_iff_subset_finite_iUnion_nhds_zeroproof · cited by 4
- MeasureTheory.Measure.QuasiMeasurePreserving.vadd_ae_eq_of_ae_eqproof · cited by 2
- MeasurableSet.const_vaddproof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.preimage_of_equivproof · cited by 1
- MeasureTheory.eventuallyConst_vadd_set_aeproof · cited by 0
- MeasureTheory.vaddInvariantMeasure_tfaeproof · cited by 0