Theorems · Theorem · group theory
Set.add_union
∀ {α : Type u_2} [inst : Add α] {s t₁ t₂ : Set α}, s + (t₁ ∪ t₂) = s + t₁ ∪ (s + t₂)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.addstatement · cited by 338
- Set.image2_union_rightproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zeroproof · cited by 1
- Set.add_pairproof · cited by 0