∀ {𝕜 : Type u_1} {V : Type u_2} {V₂ : Type u_3} {P : Type u_4} {P₂ : Type u_5} [inst : NormedField 𝕜]
  [inst_1 : SeminormedAddCommGroup V] [inst_2 : NormedSpace 𝕜 V] [inst_3 : PseudoMetricSpace P]
  [inst_4 : NormedAddTorsor V P] [inst_5 : SeminormedAddCommGroup V₂] [inst_6 : NormedSpace 𝕜 V₂]
  [inst_7 : PseudoMetricSpace P₂] [inst_8 : NormedAddTorsor V₂ P₂]
  (motive : (x x_1 : P ≃ᵃⁱ[𝕜] P₂) → x.toAffineEquiv = x_1.toAffineEquiv → Prop) (x x_1 : P ≃ᵃⁱ[𝕜] P₂)
  (x_2 : x.toAffineEquiv = x_1.toAffineEquiv),
  (∀ (toAffineEquiv : P ≃ᵃ[𝕜] P₂) (norm_map norm_map_1 : ∀ (x : V), ‖toAffineEquiv.linear x‖ = ‖x‖),
      motive { toAffineEquiv := toAffineEquiv, norm_map := norm_map }
        { toAffineEquiv := toAffineEquiv, norm_map := norm_map_1 } ⋯) →
    motive x x_1 x_2