case nested j' _ _ u _ _ e =>
  by_cases hj : j₁ = j'
  case neg => 
    cases h₂ ▸ (e (c := .rtr) (j := j₁) (.inr hj)) ▸ h₁
    simp [s₁.unique s₂]
  case pos => 
    simp_all [hj]
    exact hi (h₁ ▸ h₂ ▸ u) _
α : Type
inst✝ : Hierarchical α
rtr rtr₁ : α
cpt : Component.Valued
i : ID
v : Value
c : Component.Valued
j : ID
h : c ≠ cpt ∨ j ≠ i
rtr₁✝ : α
j₁ : ID
rtr₂✝¹ : Component.type α Component.rtr
h₁ : rtr₁✝{Component.rtr}{j₁} = some rtr₂✝¹
s₁ : StrictMember (Component.val c) j rtr₂✝¹
hi :
  ∀ {rtr₂ : α},
    LawfulMemUpdate cpt i v rtr₂✝¹ rtr₂ → ∀ (s₂ : StrictMember (Component.val c) j rtr₂), object s₁ = object s₂
rtr₂ : α
rtr₂✝ : Component.type α Component.rtr
s₂ : StrictMember (Component.val c) j rtr₂✝
h₂ : rtr₂{Component.rtr}{j₁} = some rtr₂✝
j' : ID
n₁✝ n₂✝ : Component.type α Component.rtr
u : LawfulMemUpdate cpt i v n₁✝ n₂✝
a✝¹ : rtr₁✝{Component.rtr}{j'} = some n₁✝
a✝ : rtr₂{Component.rtr}{j'} = some n₂✝
e : rtr₁✝ ≃[Component.rtr][j'] rtr₂
⊢ object s₁ = object s₂
no goals