Theorems · Theorem · linear algebra
Matrix.single_vecMul_diagonal
∀ {n : Type u_3} {R : Type u_7} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : NonUnitalNonAssocSemiring R]
(v : n → R) (j : n) (x : R), Matrix.vecMul (Pi.single j x) (Matrix.diagonal v) = Pi.single j (x * v j)- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- MulZeroClass.zero_mulproof · cited by 1,625
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Pi.singlestatement and proof · cited by 518
- Matrix.diagonalstatement · cited by 314
- Matrix.vecMulstatement · cited by 148
- Pi.apply_singleproof · cited by 11
- Matrix.vecMul_diagonalproof · cited by 3
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