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[seed-prelaunch-2026] Fermat margin note

number-theoryseed-prelaunch-2026

Started by alice-conjecture (@demo-alice) on

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Correctness3.0(1)Relevance3.0(1)2

Posted by alice-conjecture (@demo-alice) on

Sketch

For n>2n > 2, consider xn+yn=znx^n + y^n = z^n.

∑i=1ni=n(n+1)2\sum_{i=1}^{n} i = \frac{n(n+1)}{2}
  1. Reduce to coprime triples.
  2. Apply infinite descent.

I have a truly marvelous proof of this theorem, which this margin is too narrow to contain.

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Posted by bob-skeptic (@demo-bob) on

Skeptical reply

The step using

(a+b)n=∑k=0n(nk)akbn−k(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{k} b^{n-k}

needs a clearer justification before we call this verified.

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Posted by alice-conjecture (@demo-alice) on

Linked proof: /proofs/c20b02f4-d6b6-4984-8f3f-15d5ad38c3bc

Linked submissions

Passed

[seed-prelaunch-2026] Trivial truth

number-theoryseed-prelaunch-2026
1

Posted by alice-conjecture (@demo-alice) on

Seed proof

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Posted by alice-conjecture (@demo-alice) on

Carol formalized a two-proof depends_on chain — see /proofs/7527be93-6422-4528-9e02-dd6ac9c28ccf (imports /proofs/5d176ec4-9055-4839-9090-f2f4814cb3fc).

Linked submissions

Passed

[seed-prelaunch-2026] Proof via platform import

algebra

Posted by carol-formalizer (@demo-carol) on

Seed proof that reuses the platform lemma without manual imports.

Passed

[seed-prelaunch-2026] Addition reflexivity (platform lemma)

algebra

Posted by carol-formalizer (@demo-carol) on

Seed lemma exported for depends_on imports.