rwa [eq_comm, image_preimage_eq_iff]
α : Type u_1
β : Type u_2
f✝ : α → β
E I✝ s : Set α
M : Matroid α
N : Matroid β
f : α ↪ β
I : Set β
x✝ : M.Indep (⇑f ⁻¹' I) ∧ I ⊆ range ⇑f
h : M.Indep (⇑f ⁻¹' I)
h' : I ⊆ range ⇑f
⊢ I = ⇑f '' (⇑f ⁻¹' I)
no goals