I want to define the tensor power of a vector space from the Lean library mathlib.
Here's the draft I have so far:
import data.complex.basic
import analysis.inner_product_space.basic
import linear_algebra.pi_tensor_product
open_locale tensor_product
notation ℋ`^⊗`n := ⨂[ℂ] i : fin n, ℋ
variables
(ℋ : Type) [inner_product_space ℂ ℋ]
(A : λ n : ℕ, ℋ^⊗n)
Any pointers are appreciated!