Theorems · Theorem · group theory
Set.vadd_set_inter
∀ {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddAction α β] {s t : Set β} {a : α},
a +ᵥ s ∩ t = (a +ᵥ s) ∩ (a +ᵥ t)- Cited by
- 10 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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
- 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.image_interproof · cited by 34
- AddAction.injectiveproof · cited by 24
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_inter_neg_vaddproof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.setLIntegral_eq_tsum'proof · cited by 2
- MeasureTheory.Measure.pairwise_aedisjoint_of_aedisjoint_forall_ne_zeroproof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.aestronglyMeasurable_on_iffproof · cited by 1
- Set.exists_vadd_inter_vadd_subset_vadd_neg_add_inter_neg_addproof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.setIntegral_eq_tsum'proof · cited by 1
- Set.OrdConnected.vaddproof · cited by 0
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_interproof · cited by 0
- AddAction.IsBlock.interproof · cited by 0
- MeasureTheory.addFundamentalFrontier_vaddproof · cited by 0