Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.idealSetMap_apply
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (J : ↥(nonZeroDivisors (Ideal (NumberField.RingOfIntegers K)))) (a : ↑(NumberField.mixedEmbedding.fundamentalCone.idealSet K J)), ↑(NumberField.mixedEmbedding.fundamentalCone.idealSetMap K J a) = ↑a
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- Foundations
- Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- 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 · cited by 239
- NumberField.mixedEmbedding.fundamentalCone.integerSetstatement · cited by 22
- NumberField.mixedEmbedding.fundamentalCone.idealSetstatement and proof · cited by 8
- NumberField.mixedEmbedding.fundamentalCone.idealSetMapstatement · cited by 2
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