∀ (R : Type u_1) (A : Type u_2) (L : Type u_3) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : AddCommGroup A] [inst_4 : DistribSMul A R] [inst_5 : SMulCommClass A R R] (Φ Φ_1 : LinearMap.BilinForm R L),
  Φ = Φ_1 → LieAlgebra.LoopAlgebra.residuePairing R A L Φ = LieAlgebra.LoopAlgebra.residuePairing R A L Φ_1