---
tag: 78B5M2RW95
kind: statement
role: proposition
name: Neil White's conjecture
sources:
  - wikipedia: en:65673969@r1320304207
    locator: Basis of a matroid, section Properties > Neil White's conjecture
    note: adopted
    mention: wikipedia://en/65673969#03N6
    sections: [Statement]
inventory: [M5M4MQME2A]
---

## Statement

It is conjectured that all matroids satisfy the following property: For every integer *t* ≥ 1*,* If **B** and **B'** are two *t*-tuples of bases with the same multi-set union, then there is a sequence of symmetric exchanges that transforms **B** to **B'**.