no goals
S : Type u_3
R : Type u_1
R₁ : Type ?u.429167
M : Type u_2
inst✝⁷ : Ring R
inst✝⁶ : CommRing R₁
inst✝⁵ : AddCommGroup M
inst✝⁴ : Module R M
inst✝³ : Module R₁ M
inst✝² : CommSemiring S
inst✝¹ : Algebra S R
inst✝ : Invertible 2
B₁ : BilinForm R M
Q : QuadraticForm R M
x : M
⊢ bilin (↑(associatedHom S) Q) x x = ↑Q x
rw [associated_apply, map_add_self, ← three_add_one_eq_four, ← two_add_one_eq_three,
  add_mul, add_mul, one_mul, add_sub_cancel, add_sub_cancel, invOf_mul_self_assoc]