have _ : RkPos (loopyOn E)✶ := by rw [loopyOn_dual_eq]; exact freeOn_rkPos hE
α : Type u_1
M : Matroid α
C C' I X K C₁ C₂ R : Set α
e f x y : α
E D : Set α
hE : E.Nonempty
⊢ (loopyOn E).girth = 1
α : Type u_1
M : Matroid α
C C' I X K C₁ C₂ R : Set α
e f x y : α
E D : Set α
hE : E.Nonempty
x✝ : (loopyOn E)✶.RkPos
⊢ (loopyOn E).girth = 1