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Theorems · Definition · number theory

NumberField.mixedEmbedding.convexBodyLTFactor

(K : Type u_1) → [inst : Field K] → [NumberField K] → NNReal

The fudge factor that appears in the formula for the volume of convexBodyLT.

Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
Cited by
13 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.Units.dirichletUnitTheorem.seq · cited by 6dirichletUnitTheorem.seqNumberField.Units.dirichletUnitTheorem.seq_next · cited by 3dirichletUnitTheorem.seq_…NumberField.mixedEmbedding.convexBodyLT_volume · cited by 2mixedEmbedding.convexBody…NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal · cited by 1hermiteTheorem.finite_of_…NumberField.mixedEmbedding.exists_primitive_element_lt_of_isReal · cited by 1mixedEmbedding.exists_pri…NumberField.mixedEmbedding.one_le_convexBodyLTFactor · cited by 1mixedEmbedding.one_le_con…NumberField.mixedEmbedding.convexBodyLTFactor_ne_zero · cited by 1mixedEmbedding.convexBody…NumberField.Units.dirichletUnitTheorem.exists_unit · cited by 1dirichletUnitTheorem.exis…NumberField.Units.dirichletUnitTheorem.seq_decreasing · cited by 1dirichletUnitTheorem.seq_…NumberField.Units.dirichletUnitTheorem.seq_ne_zero · cited by 1dirichletUnitTheorem.seq_…NumberField.Units.dirichletUnitTheorem.seq_norm_le · cited by 1dirichletUnitTheorem.seq_…NumberField.mixedEmbedding.convexBodyLTFactor.congr_simp · cited by 0convexBodyLTFactor.congr_…NumberField.Units.dirichletUnitTheorem.seq.congr_simp · cited by 0seq.congr_simpNumberField.Units.dirichletUnitTheorem.seq.eq_def · cited by 0seq.eq_defField · cited by 7404FieldNNReal · cited by 4310NNRealNumberField · cited by 653NumberFieldNumberField.InfinitePlace.nrComplexPlaces · cited by 52InfinitePlace.nrComplexPl…NumberField.InfinitePlace.nrRealPlaces · cited by 33InfinitePlace.nrRealPlacesNNReal.pi · cited by 11NNReal.pimixedEmbedding.convexBodyLTFa…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by14

Results whose statement or proof uses this declaration.