Theorem: Matroid.disjointSum_indep_iff (Matroid/Constructions/DirectSum.lean)

State before:
α : Type u_1
β : Type u_2
ι : Type u_3
M N : Matroid α
h : Disjoint M.E N.E
I : Set α
⊢ (M.disjointSum N h).Indep I ↔ M.Indep (I ∩ M.E) ∧ N.Indep (I ∩ N.E) ∧ I ⊆ M.E ∪ N.E
Tactic:
simp [disjointSum, and_assoc]
State after:
no goals