Theorem: Matroid.Skew.symm (Matroid/Modular.lean)

State before:
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.Skew X Y
⊢ M.Skew Y X
Tactic:
rw [skew_iff_modularPair_inter_subset_loops] at h ⊢
State after:
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.ModularPair X Y ∧ X ∩ Y ⊆ M.cl ∅
⊢ M.ModularPair Y X ∧ Y ∩ X ⊆ M.cl ∅

State before:
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.ModularPair X Y ∧ X ∩ Y ⊆ M.cl ∅
⊢ M.ModularPair Y X ∧ Y ∩ X ⊆ M.cl ∅
Tactic:
rwa [inter_comm, ModularPair.comm]
State after:
no goals