exact fun I hIE ↦ ⟨fun hI ↦ ⟨⟨hI,fun e heI ↦ hI.nonloop_of_mem heI⟩, hIE⟩, fun hI ↦ hI.1.1⟩
α : Type u_1
β : Type u_2
M✝ N : Matroid α
e f : α
B L L' I X Y Z F C K : Set α
M : Matroid α
⊢ ∀ I ⊆ M.E, M.Indep I ↔ (M.Indep I ∧ I ⊆ {e | M.Nonloop e}) ∧ I ⊆ M.E
no goals