{R₁ : Type u_1} →
  {R₂ : Type u_2} →
    [inst : Semiring R₁] →
      [inst_1 : Semiring R₂] →
        {σ : R₁ →+* R₂} →
          {σ' : R₂ →+* R₁} →
            {motive : RingHomInvPair σ σ' → Sort u} →
              ((comp_eq : σ'.comp σ = RingHom.id R₁) → (comp_eq₂ : σ.comp σ' = RingHom.id R₂) → motive ⋯) →
                (t : RingHomInvPair σ σ') → motive t