Theorem: Matroid.Flat.sInter_inter_ground (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
Fs : Set (Set α)
h : ∀ F ∈ Fs, M.Flat F
⊢ M.Flat (⋂₀ Fs ∩ M.E)
Tactic:
rw [sInter_eq_iInter]
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
Fs : Set (Set α)
h : ∀ F ∈ Fs, M.Flat F
⊢ M.Flat ((⋂ i, ↑i) ∩ 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
Fs : Set (Set α)
h : ∀ F ∈ Fs, M.Flat F
⊢ M.Flat ((⋂ i, ↑i) ∩ M.E)
Tactic:
exact Flat.iInter_inter_ground (by simpa)
State after:
no goals

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
Fs : Set (Set α)
h : ∀ F ∈ Fs, M.Flat F
⊢ ∀ (i : ↑Fs), M.Flat ↑i
Tactic:
simpa
State after:
no goals