simp [Partial.mem_iff, h₁, h₂]
α : Type
inst✝ : Reactor α
cpt : Component.Valued
i : ID
v : Value
rtr₂ rtr₁ rtr₁✝ rtr₂✝ : α
n₁✝ n₂✝ : Component.type α Component.rtr
a✝ : LawfulMemUpdate cpt i v n₁✝ n₂✝
a_ih✝ : n₁✝ ≈ n₂✝
j' : ID
e : rtr₁✝ ≃[Component.rtr][j'] rtr₂✝
h₁ : rtr₁✝{Component.rtr}{j'} = some n₁✝
h₂ : rtr₂✝{Component.rtr}{j'} = some n₂✝
⊢ j' ∈ rtr₁✝{Component.rtr} ↔ j' ∈ rtr₂✝{Component.rtr}
no goals