Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 95 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Case I easier

FltRegular.caseI_easier

Plain-language statement

Case I with additional assumptions.

number theorycyclotomic fieldsFermat's Last Theorem

Source project: FLT for regular primes

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Case II

FltRegular.caseII

Plain-language statement

Case II of Fermat's Last Theorem for regular primes.

number theorycyclotomic fieldsFermat's Last Theorem

Source project: FLT for regular primes

Person-level attribution pending.

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Project-declaredLean 4.32.0

J valuation of bad prime

FreyCurve.j_valuation_of_bad_prime

Plain-language statement

The q-adic valuation of the j-invariant of the Frey curve is a multiple of p if 2 < q is a prime of bad reduction.

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

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Project-declaredLean 4.32.0

Of not Fermat Last Theorem For p ge 5

FreyPackage.of_not_FermatLastTheoremFor_p_ge_5

Plain-language statement

Given a counterexample a^p+b^p=c^p to Fermat's Last Theorem with p>=5 and prime, there exists a Frey package.

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

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Project-declaredLean 4.32.0

Exists of is Invariant of profinite

IsArithFrobAt.exists_of_isInvariant_of_profinite

Plain-language statement

Let G be a finite group acting on S, and R be the fixed subring. If Q is a prime of S with finite residue field, then there exists a Frobenius element σ : G at Q.

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

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