Mathlib Map

Theorems · Theorem · group theory

Set.vadd_image_prod

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {s : Set α} {t : Set β}, (fun x => x.1 +ᵥ x.2) '' s ×ˢ t = s +ᵥ t
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Scalar
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
VAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.IsPWO.vadd · cited by 3IsPWO.vaddIsCompact.vadd_set · cited by 2IsCompact.vadd_setSet · cited by 53352SetSet.image · cited by 5609Set.imageHVAdd.hVAdd · cited by 1820HVAdd.hVAddSProd.sprod · cited by 1750SProd.sprodVAdd · cited by 616VAddSet.vadd · cited by 72Set.vaddSet.image_prod · cited by 24Set.image_prodSet.vadd_image_prodCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.