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Dedekind reals are arithmetically located #1273

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Dedekind reals are arithmetically located #1273

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lowasser
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@lowasser lowasser commented Feb 5, 2025

The last, and hardest, lemma we need to add reals.

lowasser and others added 30 commits January 29, 2025 09:48
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Add lowasser to CONTRIBUTORS.toml
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@lowasser
Define and begin proving the Archimedean property of the natural numbers
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@lowasser
Prove that strict inequality on natural numbers is invariant by trans…
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…lation
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Merge branch 'natural-strict-translation' into archimedean-natural
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@lowasser
Show preservation of strict inequality by addition on naturals
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@lowasser
Merge branch 'natural-strict-translation' into archimedean-natural
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@lowasser
Prove the Archimedean property of the natural numbers.
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@lowasser
Prove the Archimedean property of the integers
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@lowasser
Add Wikipedia link.
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@lowasser
Merge branch 'archimedean-natural' into archimedean-integers
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@lowasser
Add Wikipedia link.
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@lowasser
Prove the Archimedean property on integer fractions.
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@lowasser
Remove unnecessary where
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@lowasser
make pre-commit changes
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@lowasser
Merge branch 'master' into archimedean-natural
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@lowasser
Merge branch 'add-contributor' into archimedean-natural
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@lowasser
Merge branch 'master' into natural-strict-translation
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@lowasser
Merge branch 'add-contributor' into natural-strict-translation
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Merge branch 'master' into add-contributor
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@lowasser
Merge branch 'add-contributor' into natural-strict-translation
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make pre-commit changes
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@lowasser @fredrik-bakke
Update src/elementary-number-theory/strict-inequality-natural-numbers…
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….lagda.md

Co-authored-by: Fredrik Bakke <[email protected]>
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Merge branch 'natural-strict-translation' into archimedean-natural
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Progress
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Merge branch 'master' into archimedean-natural
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Use LISP-style indentation/formatting.
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Merge branch 'master' into archimedean-natural
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@lowasser
Show that arithmetically located cuts are located
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@lowasser
Back out statements we're not ready to prove
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Reference the definition of arithmetic location.
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@lowasser lowasser mentioned this pull request Feb 5, 2025
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lowasser commented Feb 5, 2025

Closing this until #1282 is merged.

@lowasser lowasser closed this Feb 5, 2025
fredrik-bakke pushed a commit that referenced this pull request Feb 6, 2025
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For p q : ℚ, succ-ℚ p * q = q + (p * q) (#1282)
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Factoring out a lemma from #1273 as threatened.
@lowasser lowasser reopened this Feb 6, 2025
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lowasser commented Feb 6, 2025

Well, we pulled out some lemmas, but they're merged now, so we can come back to this.

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@lowasser @EgbertRijke