Theorems · Theorem · linear algebra
Matrix.vecMulVec_one
∀ {m : Type u_2} {n : Type u_3} {R : Type u_5} [inst : MulOneClass R] (x : n → R),
Matrix.vecMulVec x 1 = Matrix.replicateCol m x- Defined in
- Mathlib.LinearAlgebra.Matrix.RowCol
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- mul_oneproof · cited by 3,885
- MulOneClassstatement and proof · cited by 1,018
- Matrix.extproof · cited by 540
- Matrix.vecMulVecstatement · cited by 52
- Matrix.replicateColstatement · cited by 42
Cited by1
Results whose statement or proof uses this declaration.
- InnerProductSpace.toMatrix_rankOneproof · cited by 0