Theorems · Theorem · linear algebra
Matrix.dotProduct_block
∀ {m : Type u_2} {n : Type u_3} {α : Type u_12} [inst : Fintype m] [inst_1 : Fintype n] [inst_2 : Mul α]
[inst_3 : AddCommMonoid α] (v w : m ⊕ n → α), v ⬝ᵥ w = v ∘ Sum.inl ⬝ᵥ w ∘ Sum.inl + v ∘ Sum.inr ⬝ᵥ w ∘ Sum.inr- Defined in
- Mathlib.Data.Matrix.Block
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- dotProductstatement · cited by 194
- Fintype.sum_sum_typeproof · cited by 22
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