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arXiv · 2312.05228

The Fundamental Theorem of Calculus point-free, with applications to exponentials and logarithms

Steven Vickers
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Abstract

Working in point-free topology under the constraints of geometric logic, we prove the Fundamental Theorem of Calculus, and apply it to prove the usual rules for the derivatives of $x^\alpha$, $\gamma^x$, and $\log_\gamma x$.

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Steven Vickers. 2023-12-08. The Fundamental Theorem of Calculus point-free, with applications to exponentials and logarithms. https://arxiv.org/abs/2312.05228

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