Theorems · Theorem · functional analysis
CStarMatrix.mul_smul
∀ {m : Type u_1} {n : Type u_2} {R : Type u_3} {A : Type u_5} {l : Type u_7} [inst : Fintype n] [inst_1 : Monoid R]
[inst_2 : AddCommMonoid A] [inst_3 : Mul A] [inst_4 : DistribMulAction R A] [SMulCommClass R A A]
(M : CStarMatrix m n A) (a : R) (N : CStarMatrix n l A), M * a • N = a • (M * N)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 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.
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Monoidstatement and proof · cited by 3,887
- SMulCommClassstatement and proof · cited by 1,927
- DistribMulActionstatement and proof · cited by 584
- CStarMatrixstatement and proof · cited by 67
- Matrix.mul_smulproof · cited by 14
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