case nested.nested hi _ _ => exact hi $ eq_of_heq h
α : Type
inst✝ : Reactor α
rtr : α
i₁ : ID
cpt : Component
j : ID
o₁ o₂ : Component.type (Component.type α Component.rtr) cpt
rtr₁✝ : α
j✝ : ID
rtr₂✝ : Component.type α Component.rtr
a✝³ : rtr₁✝{Component.rtr}{j✝} = some rtr₂✝
a✝² : StrictMember Component.rtr i₁ rtr₂✝
hi :
  ∀ {i₂ : ID} {s₂ : StrictMember Component.rtr i₂ rtr₂✝} {h₁ : object a✝²{cpt}{j} = some o₁}
    {h₂ : object s₂{cpt}{j} = some o₂}, extend a✝² h₁ = extend s₂ h₂ → i₁ = i₂
i₂ : ID
h₁ : object (nested a✝³ a✝²){cpt}{j} = some o₁
a✝¹ : StrictMember Component.rtr i₂ rtr₂✝
a✝ : rtr₁✝{Component.rtr}{j✝} = some rtr₂✝
h₂ : object (nested a✝ a✝¹){cpt}{j} = some o₂
h : HEq (extend a✝² h₁) (extend a✝¹ h₂)
⊢ i₁ = i₂
no goals