Theorem: Matroid.mem_cl_diff_singleton_iff_cl (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
he : e ∈ X
heE : autoParam (e ∈ M.E) _auto✝
h : M.cl (X \ {e}) = M.cl X
⊢ e ∈ M.cl (X \ {e})
Tactic:
rw [h]
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
he : e ∈ X
heE : autoParam (e ∈ M.E) _auto✝
h : M.cl (X \ {e}) = M.cl X
⊢ e ∈ 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
he : e ∈ X
heE : autoParam (e ∈ M.E) _auto✝
h : M.cl (X \ {e}) = M.cl X
⊢ e ∈ M.cl X
Tactic:
exact M.mem_cl_of_mem' he
State after:
no goals