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Prove or Disprove: for All Integers a,b, if ab and ba, then a=ba , b \text {, if } a \mid b \text { and } b \mid a \text {, then } a = b \text {. }

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Prove or disprove: For all integers a,b, if ab and ba, then a=ba , b \text {, if } a \mid b \text { and } b \mid a \text {, then } a = b \text {. }


Definitions:

Organic Chemistry

The branch of chemistry devoted to the study, understanding, and manipulation of carbon-containing compounds.

Major Organic Product

The primary product formed in the highest yield during an organic chemical reaction, determined by the reaction conditions and mechanism.

Reaction

A conversion process in which initial substances or reactants are turned into a different set of substances, known as products.

Organic Chemistry

A field of chemistry focused on understanding the structure, attributes, and reactions of carbon-containing organic compounds.

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