have ⟨_, h₁', e⟩ := obj?_rtr_equiv' e h₁
case prio
α : Type
inst✝ : Hierarchical α
rtr rtr₁ rtr₂ : α
j₁ j₂ : ID
e : rtr₁ ≈ rtr₂
i✝ : Component.idType Component.rtr
con✝ : Component.type α Component.rtr
i₁✝ : ID
rcn₁✝ : Component.type (Component.type α Component.rtr) Component.rcn
i₂✝ : ID
rcn₂✝ : Component.type (Component.type α Component.rtr) Component.rcn
h₁ : rtr₂[Component.rtr][i✝] = some con✝
h₂ : con✝{Component.rcn}{i₁✝} = some rcn₁✝
h₃ : con✝{Component.rcn}{i₂✝} = some rcn₂✝
a✝¹ : Reaction.Mutates rcn₁✝ ↔ Reaction.Mutates rcn₂✝
a✝ : rcn₁✝.prio > rcn₂✝.prio
⊢ i₁✝ <[rtr₁] i₂✝
case prio
α : Type
inst✝ : Hierarchical α
rtr rtr₁ rtr₂ : α
j₁ j₂ : ID
e✝ : rtr₁ ≈ rtr₂
i✝ : Component.idType Component.rtr
con✝ : Component.type α Component.rtr
i₁✝ : ID
rcn₁✝ : Component.type (Component.type α Component.rtr) Component.rcn
i₂✝ : ID
rcn₂✝ : Component.type (Component.type α Component.rtr) Component.rcn
h₁ : rtr₂[Component.rtr][i✝] = some con✝
h₂ : con✝{Component.rcn}{i₁✝} = some rcn₁✝
h₃ : con✝{Component.rcn}{i₂✝} = some rcn₂✝
a✝¹ : Reaction.Mutates rcn₁✝ ↔ Reaction.Mutates rcn₂✝
a✝ : rcn₁✝.prio > rcn₂✝.prio
w✝ : Component.type α Component.rtr
h₁' : rtr₁[Component.rtr][i✝] = some w✝
e : w✝ ≈ con✝
⊢ i₁✝ <[rtr₁] i₂✝