Theorems · Theorem · linear algebra
Matrix.mul_sum
∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {α : Type v} {β : Type w} [inst : NonUnitalNonAssocSemiring α]
[inst_1 : Fintype m] (s : Finset β) (f : β → Matrix m n α) (M : Matrix l m α), M * ∑ a ∈ s, f a = ∑ a ∈ s, M * f a- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 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 and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- Matrixstatement and proof · cited by 4,303
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- map_sumproof · cited by 455
- Matrix.addMonoidHomMulLeftproof · cited by 2
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