rw [← cl_iInter_eq_iInter_cl_of_iUnion_indep, ← iInter_inter B Xs]
ι : Type u_1
α : Type u_2
M : Matroid α
B I J X X' Y Y' F : Set α
Xs Ys Js Is : ι → Set α
i j : ι
e f : α
inst✝ : Nonempty ι
hB : M.ModularBase B Xs
⊢ ⋂ i, M.cl (Xs i ∩ B) ⊆ M.cl (⋂ i, Xs i) ∧ ∀ (i : ι), M.cl (⋂ i, Xs i) ⊆ M.cl (Xs i ∩ B)
ι : Type u_1
α : Type u_2
M : Matroid α
B I J X X' Y Y' F : Set α
Xs Ys Js Is : ι → Set α
i j : ι
e f : α
inst✝ : Nonempty ι
hB : M.ModularBase B Xs
⊢ M.cl ((⋂ i, Xs i) ∩ B) ⊆ M.cl (⋂ i, Xs i) ∧ ∀ (i : ι), M.cl (⋂ i, Xs i) ⊆ M.cl (Xs i ∩ B)

case h
ι : Type u_1
α : Type u_2
M : Matroid α
B I J X X' Y Y' F : Set α
Xs Ys Js Is : ι → Set α
i j : ι
e f : α
inst✝ : Nonempty ι
hB : M.ModularBase B Xs
⊢ M.Indep (⋃ i, Xs i ∩ B)