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Solution for Exercise 03 from Chapter 01 in Baby Rudin #17

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merged 2 commits into from
Jan 29, 2024

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gapry
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@gapry gapry commented Jan 14, 2024

This pull request provides the solution for Exercise 03, Chapter 01, from the third edition of Principles of Mathematical Analysis by Walter Rudin.

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@ceciliachan1979 ceciliachan1979 left a comment

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You have got it 👍

As we know $x \neq 0$
\begin{flalign*}
xy &= xz &\\
\implies \frac{1}{x}{x}{y} &= \frac{1}{x}{x}{z} \text{ (by 1.12 (M5))} &\\
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M5 only allow you to multiply $\frac{1}{x}$ on the right hand side, you can fix that with M2 though.

@ceciliachan1979 ceciliachan1979 merged commit d235e3a into ceciliachan1979:main Jan 29, 2024
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@gapry gapry deleted the rudin-1-3 branch March 13, 2024 04:58
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2 participants