Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  |(↑(NumberField.mixedEmbedding.fundamentalCone.completeBasis K).equivFunL.symm).det| =
    ↑(Module.finrank ℚ K) * NumberField.Units.regulator K

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 1 results in Mathlib
Foundations: Depth 332 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites50

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

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Equiv.symmproof · cited by 3,681
Units.valproof · cited by 1,966
absstatement and proof · cited by 1,814

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NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasisproof · cited by 1