Theorems · Theorem · commutative algebra
vadd_pi
∀ {K : Type u_1} {ι : Type u_2} {R : ι → Type u_3} [inst : AddGroup K] [inst_1 : (i : ι) → AddAction K (R i)] (r : K)
(S : Set ι) (t : (i : ι) → Set (R i)), r +ᵥ S.pi t = S.pi (r +ᵥ t)- Defined in
- Mathlib.Algebra.Module.PointwisePi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.pistatement · cited by 405
- Set.vaddSetstatement · cited by 403
- Set.piMap_image_piproof · cited by 5
- AddAction.surjectiveproof · cited by 4
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