import Mathlib.Algebra.BigOperators.Basic
import Mathlib.Analysis.InnerProductSpace.Basic
import Mathlib.Analysis.InnerProductSpace.Dual
import Mathlib.Analysis.InnerProductSpace.PiL2


open BigOperators
open Finset

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] [FiniteDimensional ℝ E]
variable {F : Type*} [NormedAddCommGroup F] [NormedSpace ℝ F]

open TensorProduct

example : 0 = 1 := by

  let B := (sesqFormOfInner (𝕜 := ℝ) (E := E)).flip


  have e: E := by sorry
  let C := B e

  let α :=  InnerProductSpace.toDual ℝ E

  let β : E →ₗ[ℝ] ℝ := by sorry
  let YY := E ⊗[ℝ] E

  let ZZ := TensorProduct.mapBilinear ℝ E E ℝ ℝ


  let A : E × E → LinearMap.BilinForm ℝ E := by
    unfold LinearMap.BilinForm
    intro (e₁, e₂)



    sorry

  sorry