Theorems · Theorem · linear algebra
TensorPower.cast_tprod
∀ (R : Type u_1) (M : Type u_2) [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {i j : ℕ}
(h : i = j) (a : Fin i → M),
(TensorPower.cast R M h) ((PiTensorProduct.tprod R) a) = (PiTensorProduct.tprod R) (a ∘ Fin.cast ⋯)- Defined in
- Mathlib.LinearAlgebra.TensorPower.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement · cited by 3,317
- MultilinearMapstatement · cited by 370
- PiTensorProductstatement · cited by 181
- PiTensorProduct.tprodstatement · cited by 117
- finCongrproof · cited by 78
- TensorPowerstatement · cited by 40
- TensorPower.caststatement · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- TensorPower.list_prod_gradedMonoid_mk_singleproof · cited by 1
- TensorPower.mul_oneproof · cited by 1
- TensorPower.one_mulproof · cited by 1
- TensorPower.mul_assocproof · cited by 0