Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.integerSetEquiv_apply_fst

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
  (a : ↑(NumberField.mixedEmbedding.fundamentalCone.integerSet K)),
  ↑↑((NumberField.mixedEmbedding.fundamentalCone.integerSetEquiv K) a).1 =
    Ideal.span {↑(NumberField.mixedEmbedding.fundamentalCone.preimageOfMemIntegerSet a)}

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone
Cited by: 0 results in Mathlib
Foundations: Depth 339 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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DFunLike.coestatement · cited by 62,936
Setstatement · cited by 53,352
Equivstatement · cited by 8,337
Fieldstatement and proof · cited by 7,404
Set.Elemstatement and proof · cited by 7,166
Idealstatement · cited by 4,748
Subgroupstatement · cited by 3,593
Submonoidstatement · cited by 3,086
Unitsstatement · cited by 2,804
Ideal.spanstatement · cited by 948
nonZeroDivisorsstatement · cited by 895
NumberFieldstatement and proof · cited by 653

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