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Theorems · Theorem · number theory

NumberField.Units.logEmbeddingEquiv_apply

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (x : (NumberField.RingOfIntegers K)ˣ),
  ↑((NumberField.Units.logEmbeddingEquiv K) (Additive.ofMul ↑x)) = (NumberField.Units.logEmbedding K) (Additive.ofMul x)
Defined in
Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by
1 results in Mathlib
Foundations
Depth 309 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
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Around this declaration

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

NumberField.Units.logEmbedding_fundSystem · cited by 4Units.logEmbedding_fundSy…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealRingHom.id · cited by 18349RingHom.idEquiv · cited by 8337EquivField · cited by 7404FieldSubmodule · cited by 7192SubmoduleSubgroup · cited by 3593SubgroupLinearEquiv · cited by 3317LinearEquivAddMonoidHom · cited by 3230AddMonoidHomUnits · cited by 2804UnitsHasQuotient.Quotient · cited by 2301HasQuotient.QuotientNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersAdditive · cited by 356AdditiveUnits.logEmbeddingEquiv_applyCITED BYCITES

Cites23

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Cited by1

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