Theorems · Theorem · commutative algebra
smul_pi_subset
∀ {K : Type u_1} {ι : Type u_2} {R : ι → Type u_3} [inst : (i : ι) → SMul K (R i)] (r : K) (s : Set ι)
(t : (i : ι) → Set (R i)), r • s.pi t ⊆ s.pi (r • t)- Defined in
- Mathlib.Algebra.Module.PointwisePi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- SMul
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Cites4
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- Setstatement and proof · cited by 53,352
- Set.smulSetstatement · cited by 608
- Set.pistatement · cited by 405
- Set.piMap_image_pi_subsetproof · cited by 3
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