Theorems · Theorem · group theory
Set.vadd_set_subset_vadd
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {t : Set β} {a : α} {s : Set α}, a ∈ s → a +ᵥ t ⊆ s +ᵥ t- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Set.vaddstatement · cited by 72
- Set.image_subset_image2_rightproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- AddGroupFilterBasis.nhds_eqproof · cited by 3
- AddAction.IsBlock.disjoint_vadd_set_vaddproof · cited by 2
- MeasureTheory.eventually_nhds_zero_measure_vadd_sdiff_ltproof · cited by 2
- vadd_singleton_mem_nhds_of_sigmaCompactproof · cited by 1
- isApproximateAddSubgroup_zeroproof · cited by 0