Theorems · Theorem · group theory
Set.smul_union
∀ {α : Type u_2} {β : Type u_3} [inst : SMul α β] {s : Set α} {t₁ t₂ : Set β}, s • (t₁ ∪ t₂) = s • t₁ ∪ s • t₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SMul
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.smulstatement · cited by 110
- Set.image2_union_rightproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- IsLinearTopology.hasBasis_subbimoduleproof · cited by 2