Theorem: Matroid.basis_iff_indep_encard_eq_of_finite (Matroid/Rank.lean)

State before:
α : Type u_1
ι : Type u_2
M N : Matroid α
I B X X' Y Y' Z R : Set α
n : ℕ∞
e f : α
hIfin : I.Finite
hX : autoParam (X ⊆ M.E) _auto✝
⊢ M.Basis I X ↔ I ⊆ X ∧ M.Indep I ∧ I.encard = M.er X
Tactic:
rw [← basis'_iff_basis, basis'_iff_indep_encard_eq_of_finite hIfin]
State after:
no goals