Theorems · Theorem · number theory

NumberField.mixedEmbedding.minkowskiBound_pos

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

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
Cited by: 1 results in Mathlib
Foundations: Depth 310 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites16

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

Realproof · cited by 25,697
ENNRealstatement · cited by 9,879
Fieldstatement and proof · cited by 7,404
Unitsstatement and proof · cited by 2,804
Module.finrankproof · cited by 1,770
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
two_ne_zeroproof · cited by 251
NumberField.mixedEmbedding.mixedSpaceproof · cited by 239
NumberField.mixedEmbedding.minkowskiBoundstatement · cited by 21

Cited by1

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.exists_ne_zero_mem_ideal_of_norm_leproof · cited by 2