Theorems · Definition · group theory
Finset.distribSMul
{α : Type u_1} →
{β : Type u_2} → [inst : DecidableEq β] → [inst_1 : AddZeroClass β] → [DistribSMul α β] → DistribSMul α (Finset β)If the scalar multiplication (· • ·) : α → β → β is distributive,
then so is (· • ·) : α → Finset β → Finset β.
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- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddZeroClassstatement and proof · cited by 1,237
- Finset.coe_injectiveproof · cited by 127
- DistribSMulstatement and proof · cited by 117
- Finset.addZeroClassstatement · cited by 5
- Finset.coeAddMonoidHomproof · cited by 4
- Function.Injective.distribSMulproof · cited by 0
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