Theorems · Theorem · linear algebra
Matrix.star_dotProduct_star
∀ {m : Type u_2} {α : Type v} [inst : Fintype m] [inst_1 : NonUnitalSemiring α] [inst_2 : StarRing α] (v w : m → α),
star v ⬝ᵥ star w = star (w ⬝ᵥ v)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- StarRingstatement and proof · cited by 1,686
- Star.starstatement and proof · cited by 1,082
- NonUnitalSemiringstatement and proof · cited by 339
- dotProductstatement · cited by 194
- StarMul.star_mulproof · cited by 72
- star_sumproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.star_mulVecproof · cited by 4
- Matrix.star_vecMulproof · cited by 1
- LDL.diag_eq_lowerInv_conjproof · cited by 1