Theorems · Theorem · number theory

NumberField.mixedEmbedding.minkowskiBound_lt_top

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
  (I : (FractionalIdeal (nonZeroDivisors (NumberField.RingOfIntegers K)) K)ˣ),
  NumberField.mixedEmbedding.minkowskiBound K I < ⊤

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
Cited by: 2 results in Mathlib
Foundations: Depth 310 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites15

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

ENNRealstatement · cited by 9,879
Top.topstatement · cited by 9,680
Fieldstatement and proof · cited by 7,404
Unitsstatement and proof · cited by 2,804
nonZeroDivisorsstatement and proof · cited by 895
NumberFieldstatement and proof · cited by 653
FractionalIdealstatement and proof · cited by 423
NumberField.RingOfIntegersstatement and proof · cited by 413
ENNReal.mul_lt_topproof · cited by 41
NumberField.mixedEmbedding.minkowskiBoundstatement · cited by 21
NumberField.mixedEmbedding.fractionalIdealLatticeBasisproof · cited by 11
Bornology.IsBounded.measure_lt_topproof · cited by 8

Cited by2

Results whose statement or proof uses this declaration.

NumberField.exists_ne_zero_mem_ideal_of_norm_le_mul_sqrt_discrproof · cited by 2
NumberField.Units.dirichletUnitTheorem.exists_unitproof · cited by 1