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Theorems · Theorem · number theory

RingOfIntegers.coe_norm

∀ {L : Type u_1} (K : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  (x : NumberField.RingOfIntegers L), ↑((RingOfIntegers.norm K) x) = (Algebra.norm K) ↑x
Defined in
Mathlib.NumberTheory.NumberField.Norm
Cited by
2 results in Mathlib
Foundations
Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
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Around this declaration

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

NumberField.Units.norm · cited by 8Units.normRingOfIntegers.norm_norm · cited by 1RingOfIntegers.norm_normDFunLike.coe · cited by 62936DFunLike.coeAlgebra · cited by 11388AlgebraField · cited by 7404FieldMonoidHom · cited by 3629MonoidHomNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersAlgebra.norm · cited by 155Algebra.normNumberField.RingOfIntegers.val · cited by 74RingOfIntegers.valRingOfIntegers.norm · cited by 9RingOfIntegers.normRingOfIntegers.coe_normCITED BYCITES

Cites8

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Cited by2

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