refine Indep.skewFamily_of_disjoint_bases ?_ ?_ hIs
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
h : M.SkewFamily Xs
hYX : ∀ (i : ι), Ys i ⊆ Xs i
Is : ι → Set α
hIs : ∀ (i : ι), M.Basis (Is i) (Ys i)
⊢ M.SkewFamily Ys
case refine_1
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
h : M.SkewFamily Xs
hYX : ∀ (i : ι), Ys i ⊆ Xs i
Is : ι → Set α
hIs : ∀ (i : ι), M.Basis (Is i) (Ys i)
⊢ M.Indep (⋃ i, Is i)

case refine_2
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
h : M.SkewFamily Xs
hYX : ∀ (i : ι), Ys i ⊆ Xs i
Is : ι → Set α
hIs : ∀ (i : ι), M.Basis (Is i) (Ys i)
⊢ Pairwise (Disjoint on fun i => Is i)