Theorem: Matroid.Base.cl_of_superset (Matroid/Closure.lean)

State before:
α : Type u_1
ι : Type u_2
M : Matroid α
F I J X Y B C R : Set α
e f x y : α
hB : M.Base B
hBX : B ⊆ X
⊢ M.E ⊆ M.cl X
Tactic:
rw [← hB.cl_eq]
State after:
α : Type u_1
ι : Type u_2
M : Matroid α
F I J X Y B C R : Set α
e f x y : α
hB : M.Base B
hBX : B ⊆ X
⊢ M.cl B ⊆ M.cl X

State before:
α : Type u_1
ι : Type u_2
M : Matroid α
F I J X Y B C R : Set α
e f x y : α
hB : M.Base B
hBX : B ⊆ X
⊢ M.cl B ⊆ M.cl X
Tactic:
exact M.cl_subset_cl hBX
State after:
no goals