Question: ( B 3 ) If B 1 , B 2 inB and B 1 s u b e B 2 , then B 1 =

(B3) If B1,B2inB and B1subeB2, then B1=B2.
Prove that the f "lowing are equivalent for an element e of a matroid:
(a)e is a loop.
(b)e is in no bases.
(c)e is in no independent sets.
 (B3) If B1,B2inB and B1subeB2, then B1=B2. Prove that the f

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