Irreducible.lean`

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Annotation provenance. This overlay contains 8 curated AI-written annotations and 1204 mechanical source-derived annotations. They have not been human-reviewed as explanations; treat them as unverified and not mathematical authority. Retained generation history: The 71 original curated annotations were produced in a Claude Sonnet 5.5 session at medium effort; Claude Opus 5.5 is recorded in that session as the advisor model, not the direct author. The bulk source-derived expansion was generated mechanically from pinned source comments by tooling developed in a GPT-5.6 Sol session at ultra reasoning; GPT-5.6 Sol did not originate the quoted source prose. On 2026-10-17 the mechanically generated source-comment annotations of the Formal Conjectures, Carleson, FLT, PFR, CompFiles, Mathematics in Lean and Theorem Proving in Lean overlays were regenerated by the same generator after three corrections made in a Claude Sonnet 5.5 session: titles no longer cut a sentence inside mathematics or end on a dangling word, workflow markers are removed from the quoted prose, and declaration names follow the scanner's namespace resolution. The boilerplate step line was dropped, and comments that were only a row of dashes no longer yield annotations. No new prose was written and no human review is claimed.

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Project sources: Pinned project documentation, Pinned FLT blueprint introduction

1 declarations, 0 contain sorry, 0 declared as axioms

Absolutely irreducible representations

The class Representation.IsAbsolutelyIrreducible ρ, expressing that the base change of ρ to the algebraic closure of the base field remains irreducible.

Imports (2)

Imported by 2 files

class Representation.IsAbsolutelyIrreducible IsAbsolutelyIrreducible ρ states that a given Representation ρ over a field k is absolutely irreducible, meaning that all the possible base change extensions are irreducible line 33 source
Source documentation
IsAbsolutelyIrreducible ρ states that a given Representation ρ over a field k is absolutely irreducible, meaning that all the possible base change extensions are irreducible.

standard axioms: Quot.sound, propext what this means
Statement uses: Group, Field, AddCommMonoid, Module, Representation
5 instances, coercions and auxiliary constants left out.
```
class IsAbsolutelyIrreducible (ρ : Representation k G W) : Prop where
…
```