Theorems · Definition · linear algebra
Holor.mul
{α : Type} → {ds₁ ds₂ : List ℕ} → [Mul α] → Holor α ds₁ → Holor α ds₂ → Holor α (ds₁ ++ ds₂)The tensor product of two holors.
- Defined in
- Mathlib.Data.Holor
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Holorstatement and proof · cited by 24
- HolorIndexproof · cited by 16
- HolorIndex.dropproof · cited by 6
- HolorIndex.takeproof · cited by 6
Cited by13
Results whose statement or proof uses this declaration.
- Holor.mul_assoc0statement and proof · cited by 1
- Holor.mul_left_distribstatement · cited by 1
- Holor.mul_zerostatement · cited by 1
- Holor.slice_unitVec_mulstatement · cited by 1
- Holor.CPRankMax1.below.casesOnstatement and proof · cited by 0
- Holor.CPRankMax1.casesOnstatement and proof · cited by 0
- Holor.cprankMax_mulstatement and proof · cited by 0
- Holor.CPRankMax1.recOnstatement and proof · cited by 0
- Holor.mul_assocstatement and proof · cited by 0
- Holor.mul_right_distribstatement · cited by 0
- Holor.mul_scalar_mulstatement · cited by 0
- Holor.sum_unitVec_mul_slicestatement and proof · cited by 0