Theorems · Theorem · ring theory
Fintype.sum_mul_sum
∀ {ι : Type u_1} {κ : Type u_2} {R : Type u_4} [inst : NonUnitalNonAssocSemiring R] [inst_1 : Fintype ι]
[inst_2 : Fintype κ] (f : ι → R) (g : κ → R), (∑ i, f i) * ∑ j, g j = ∑ i, ∑ j, f i * g j- Defined in
- Mathlib.Algebra.BigOperators.Ring.Finset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Finset.sum_mul_sumproof · cited by 13
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