Skip to main content

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 2,569 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.

All topics

Showing 997 to 1,002 of 2,569 results.

Project-declaredLean 4.28.0

Eo F of MES

EoF_of_MES

Mathematical statement

The entanglement of formation of the maximally entangled state with on-site dimension 𝕕 is log(𝕕).

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

View proof record
Project-declaredLean 4.33.0-rc1

Eq pow prime of unit of congruent

eq_pow_prime_of_unit_of_congruent

Mathematical statement

A regular prime criterion: if a unit of the cyclotomic field is congruent to an integer modulo p, then it is a p-th power.

number theorycyclotomic fieldsFermat's Last Theorem

Source project: FLT for regular primes

Person-level attribution pending.

View proof record
Project-declaredLean 4.29.1

Eq255 equiv Lx Rx

Eq677.eq255_equiv_LxRx

Mathematical statement

Blueprint Lemma 13.2(v). E255 at x ↔ L_x ∘ R_x has a fixed point.

universal algebraequational logiccombinatorics

Source project: Equational Theories

Person-level attribution pending.

View proof record
Project-declaredLean 4.33.0-rc1

Equation4

equation4

Project documentation

Apply the optional stopping theorem to get equation 4. Note that T1 Space is needed to make sure that mesh ι n has order topology.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

View proof record