Reciprocals of nonzero natural numbers #1345
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This is a step on the way to Cauchy sequences, not just Cauchy approximations, and can get folded into that when it's ready if you like, but it seemed like a reasonable chunk to break into its own PR. |
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As promised, #1347 goes the rest of the way to Cauchy sequences. |
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Reciprocals of nonzero natural numbers are also called unit fractions: https://www.wikidata.org/wiki/Q255388 Would you mind factoring out their definition and any of their properties into a separate file? |
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I've done it. |
src/elementary-number-theory/archimedean-property-positive-rational-numbers.lagda.md
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fredrik-bakke
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Feb 27, 2025
fredrik-bakke
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Mar 23, 2025
Gives us the ability to go back and forth between Cauchy sequences and Cauchy approximations, and their limits. Naturally, this is going to be necessary for a lot of analysis built on series and sequences. Depends on #1345.
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Many related properties along with it. Hopefully this will help us do things like simply take half of a rational number and the like.