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

All topics

91 results

Clear filters
Project-declaredLean 4.32.0

Eq finsum quotient out of bij On

AbstractHeckeOperator.eq_finsum_quotient_out_of_bijOn'

Plain-language statement

If a is fixed by V then ∑ᶠ g ∈ s, g • a is independent of the choice s of coset representatives in G for a subset of G ⧸ V

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

View proof record
Project-declaredLean 4.32.0

Comm Group no compact automorphisms

CommGroup.no_compact_automorphisms

Plain-language statement

A connected compact Hausdorff abelian topological group does not admit a nontrivial compact group of automorphisms.

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

View proof record
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.

View proof record
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.

View proof record