case neg => 
  have := e (c := .rtr) (j := j') (.inr hj)
  simp_all
  apply Equivalent.refl
α : Type
inst✝ : Reactor α
cpt : Component.Valued
i : ID
v : Value
rtr₂ rtr₁ : α
j : ID
rtr₁✝ rtr₂✝ : α
n₁✝ n₂✝ : Component.type α Component.rtr
e : rtr₁✝ ≃[Component.rtr][j] rtr₂✝
a✝² : rtr₁✝{Component.rtr}{j} = some n₁✝
a✝¹ : rtr₂✝{Component.rtr}{j} = some n₂✝
a✝ : LawfulMemUpdate cpt i v n₁✝ n₂✝
hi : n₁✝ ≈ n₂✝
j' : ID
n₁' n₂' : Component.type α Component.rtr
h₁' : rtr₁✝{Component.rtr}{j'} = some n₁'
h₂' : rtr₂✝{Component.rtr}{j'} = some n₂'
hj : ¬j' = j
⊢ Equivalent n₁' n₂'
no goals