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 121 research declarations. Search 10,000 more complete Mathlib declarations.

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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 4.21.0-rc3

Geometry Bound set finite

geometryBound_set_finite

Plain-language statement

The set that we are taking the infimum over in the geometry bound is a finite set.

number theoryABC conjectureDiophantine equations

Source project: ABC Exceptions

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Exists of surjective

groupCohomology.exists_of_surjective

Plain-language statement

Given map f: M ⟶ N and q : ℕ, if H^{q+1}(M) ⟶ H^{q+1}(N) is surjective, then any z : Z^{q+1}(N) can be written as f(z') + d(y) for some z' : Z^{q+1}(M) and y : C^q(M). Note that d is spelled as toCocycles.

number theoryclass field theorylocal fields

Source project: Class Field Theory

Person-level attribution pending.

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