Theorem: Matroid.Indep.nonloop_of_mem (Matroid/Loop.lean)

State before:
α : Type u_1
β : Type u_2
M N : Matroid α
e f : α
B L L' I X Y Z F C K : Set α
hI : M.Indep I
h : e ∈ I
⊢ M.Nonloop e
Tactic:
rw [← not_loop_iff (hI.subset_ground h)]
State after:
α : Type u_1
β : Type u_2
M N : Matroid α
e f : α
B L L' I X Y Z F C K : Set α
hI : M.Indep I
h : e ∈ I
⊢ ¬M.Loop e

State before:
α : Type u_1
β : Type u_2
M N : Matroid α
e f : α
B L L' I X Y Z F C K : Set α
hI : M.Indep I
h : e ∈ I
⊢ ¬M.Loop e
Tactic:
exact fun he ↦ (he.not_mem_of_indep hI) h
State after:
no goals