Theorems · Theorem · order theory
Set.iUnion_smul_left_image
∀ {α : Type u_2} {β : Type u_3} [inst : SMul α β] {s : Set α} {t : Set β}, ⋃ a ∈ s, a • t = s • t- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- SMul
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
- Set.iUnionstatement · cited by 2,483
- Set.smulSetstatement · cited by 608
- Set.smulstatement · cited by 110
- Set.iUnion_image_leftproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- set_smul_sphere_zeroproof · cited by 1
- MulAction.isClosedMap_quotientproof · cited by 0