Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.idealSet.congr_simp

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
  (J J_1 : ↥(nonZeroDivisors (Ideal (NumberField.RingOfIntegers K)))),
  J = J_1 →
    ∀ (a a_1 : NumberField.mixedEmbedding.mixedSpace K),
      a = a_1 →
        NumberField.mixedEmbedding.fundamentalCone.idealSet K J a =
          NumberField.mixedEmbedding.fundamentalCone.idealSet K J_1 a_1

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone
Cited by: 0 results in Mathlib
Foundations: Depth 327 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Fieldstatement and proof · cited by 7,404
Idealstatement and proof · cited by 4,748
Submonoidstatement · cited by 3,086
nonZeroDivisorsstatement and proof · cited by 895
NumberFieldstatement and proof · cited by 653
NumberField.RingOfIntegersstatement and proof · cited by 413
NumberField.mixedEmbedding.mixedSpacestatement and proof · cited by 239
NumberField.mixedEmbedding.fundamentalCone.idealSetstatement and proof · cited by 8

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