exercise:Aaa06983de: Difference between revisions

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Prove that if <math>B_1</math>, <math>B_2</math>, \dots, <math>B_n</math> are mutually disjoint and collectively exhaustive, and if <math>A</math> attracts some <math>B_i</math>, then <math>A</math> must repel
Prove that if <math>B_1,B_2, \ldots,B_n</math> are mutually disjoint and collectively exhaustive, and if <math>A</math> attracts some <math>B_i</math>, then <math>A</math> must repel
some <math>B_j</math>.
some <math>B_j</math>.

Latest revision as of 01:22, 13 June 2024

Prove that if [math]B_1,B_2, \ldots,B_n[/math] are mutually disjoint and collectively exhaustive, and if [math]A[/math] attracts some [math]B_i[/math], then [math]A[/math] must repel some [math]B_j[/math].