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)
- QIQTH.BornJoin 3 entries (#1–3)
BornJoinGleason (1)
- QIQTH.BornJoinGleason 1 entries (#4–4)
BranchLedger (1)
- QIQTH.BranchLedger 1 entries (#5–5)
ChristoffelSmooth (5)
- QIQTH.ChristoffelSmooth 5 entries (#6–10)
ClausiusFiniteWitness (1)
- QIQTH.ClausiusFiniteWitness 1 entries (#11–11)
ClausiusToPernull (1)
- QIQTH.ClausiusToPernull 1 entries (#12–12)
CoreNoCollapse (2)
- QIQTH.CoreNoCollapse 2 entries (#13–14)
Curvature (56)
- QIQTH.Curvature 56 entries (#15–70)
DifferentialAreaLaw (3)
- QIQTH.DifferentialAreaLaw 3 entries (#71–73)
EffectGleason (3)
- QIQTH.EffectGleason 3 entries (#74–76)
EinsteinEquationOfState (6)
- QIQTH.EinsteinEquationOfState 6 entries (#77–82)
EinsteinFieldEquation (11)
- QIQTH.EinsteinFieldEquation 11 entries (#83–93)
Fock (334)
- QIQTH.Fock.BoostKMS 115 entries (#94–208)
- QIQTH.Fock.CyclicWitness 22 entries (#209–230)
- QIQTH.Fock.FreeFieldHFlux 5 entries (#231–235)
- QIQTH.Fock.Localization 34 entries (#236–269)
- QIQTH.Fock.OneParticle 16 entries (#270–285)
- QIQTH.Fock.OneParticleBW 34 entries (#286–319)
- QIQTH.Fock.SchwartzDecay 6 entries (#320–325)
- QIQTH.Fock.WedgeAnalyticity 58 entries (#326–383)
- QIQTH.Fock.WienerL2 44 entries (#384–427)
GaussianMode (17)
- QIQTH.GaussianMode 17 entries (#428–444)
HregExplicitKG (3)
- QIQTH.HregExplicitKG 3 entries (#445–447)
KGStressConservation (21)
- QIQTH.KGStressConservation 21 entries (#448–468)
KMSCorrelation (21)
- QIQTH.KMSCorrelation 21 entries (#469–489)
LocalizedMode (1)
- QIQTH.LocalizedMode 1 entries (#490–490)
ModularRelativeEntropy (43)
- QIQTH.ModularRelativeEntropy 43 entries (#491–533)
PPWaveMetric (12)
- QIQTH.PPWaveMetric 12 entries (#534–545)
QiqtGrComplete (1)
- QIQTH.QiqtGrComplete 1 entries (#546–546)
QiqtGrCovCong (1)
- QIQTH.QiqtGrCovCong 1 entries (#547–547)
QiqtGrExplicitKG (1)
- QIQTH.QiqtGrExplicitKG 1 entries (#548–548)
QiqtGrFreeField (7)
- QIQTH.QiqtGrFreeField 7 entries (#549–555)
QiqtGrGaussian (1)
- QIQTH.QiqtGrGaussian 1 entries (#556–556)
QiqtGrPPWave (1)
- QIQTH.QiqtGrPPWave 1 entries (#557–557)
QiqtGrShowcase (1)
- QIQTH.QiqtGrShowcase 1 entries (#558–558)
QiqtGrThermo (1)
- QIQTH.QiqtGrThermo 1 entries (#559–559)
QiqtToGR (4)
- QIQTH.QiqtToGR 4 entries (#560–563)
Raychaudhuri (11)
- QIQTH.Raychaudhuri 11 entries (#564–574)
RaychaudhuriCongruence (4)
- QIQTH.RaychaudhuriCongruence 4 entries (#575–578)
RecordContract (3)
- QIQTH.RecordContract 3 entries (#579–581)
RelEntPositivity (2)
- QIQTH.RelEntPositivity 2 entries (#582–583)
RicciSymm (2)
- QIQTH.RicciSymm 2 entries (#584–585)
Spectral (167)
- QIQTH.Spectral.PVM 84 entries (#586–669)
- QIQTH.Spectral.SpectralTheorem 83 entries (#670–752)
StandardSubspaceModular (55)
- QIQTH.StandardSubspaceModular 55 entries (#753–807)
StandardSubspaceModularFlow (171)
- QIQTH.StandardSubspaceModularFlow 171 entries (#808–978)
StripUniqueness (14)
- QIQTH.StripUniqueness 14 entries (#979–992)
ValueSelection (4)
- QIQTH.ValueSelection 4 entries (#993–996)
WedgeKMSToGR (4)
- QIQTH.WedgeKMSToGR 4 entries (#997–1000)