Theorem: Matroid.Hyperplane.not_spanning (Matroid/Flat.lean)

State before:
α : Type u_1
M : Matroid α
I F X Y F' F₀ F₁ F₂ P L H H₁ H₂ H' B C K : Set α
e f : α
hH : M.Hyperplane H
⊢ ¬M.Spanning H
Tactic:
rw [hH.flat.spanning_iff]
State after:
α : Type u_1
M : Matroid α
I F X Y F' F₀ F₁ F₂ P L H H₁ H₂ H' B C K : Set α
e f : α
hH : M.Hyperplane H
⊢ ¬H = M.E

State before:
α : Type u_1
M : Matroid α
I F X Y F' F₀ F₁ F₂ P L H H₁ H₂ H' B C K : Set α
e f : α
hH : M.Hyperplane H
⊢ ¬H = M.E
Tactic:
exact hH.ssubset_ground.ne
State after:
no goals