Definitions · theorems · lemmas · proofs

The development as a book

The Lean development, presented as a hyperlinked math book split into one section per Lean module. Each entry is a numbered Definition, Theorem or Lemma with the author’s own explanation, typeset in printed math (free variables are implicitly universally quantified). Every Proof cites the lemmas it rests on — click a citation to jump straight to that result (on its own section page), read it, and follow its proof deeper; symbols inside the formulas link to their definitions; and a source ↗ link opens the exact Lean line.

A hyperlinked math book in 49 sections (1000 numbered definitions, lemmas and theorems). Pick a section:

BornJoin  (3)

BornJoinGleason  (1)

BranchLedger  (1)

ChristoffelSmooth  (5)

ClausiusFiniteWitness  (1)

ClausiusToPernull  (1)

CoreNoCollapse  (2)

Curvature  (56)

DifferentialAreaLaw  (3)

EffectGleason  (3)

EinsteinEquationOfState  (6)

EinsteinFieldEquation  (11)

Fock  (334)

GaussianMode  (17)

HregExplicitKG  (3)

KGStressConservation  (21)

KMSCorrelation  (21)

LocalizedMode  (1)

ModularRelativeEntropy  (43)

PPWaveMetric  (12)

QiqtGrComplete  (1)

QiqtGrCovCong  (1)

QiqtGrExplicitKG  (1)

QiqtGrFreeField  (7)

QiqtGrGaussian  (1)

QiqtGrPPWave  (1)

QiqtGrShowcase  (1)

QiqtGrThermo  (1)

QiqtToGR  (4)

Raychaudhuri  (11)

RaychaudhuriCongruence  (4)

RecordContract  (3)

RelEntPositivity  (2)

RicciSymm  (2)

Spectral  (167)

StandardSubspaceModular  (55)

StandardSubspaceModularFlow  (171)

StripUniqueness  (14)

ValueSelection  (4)

WedgeKMSToGR  (4)