Theorems · Theorem · group theory
Set.vadd_set_union
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {t₁ t₂ : Set β} {a : α}, a +ᵥ t₁ ∪ t₂ = (a +ᵥ t₁) ∪ (a +ᵥ t₂)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Set.image_unionproof · cited by 48
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_union_neg_vaddproof · cited by 1
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_unionproof · cited by 1