Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.idealSetEquiv_symm_apply
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
{J : ↥(nonZeroDivisors (Ideal (NumberField.RingOfIntegers K)))}
(a : { a // ↑(NumberField.mixedEmbedding.fundamentalCone.preimageOfMemIntegerSet a) ∈ ↑↑J }),
↑((NumberField.mixedEmbedding.fundamentalCone.idealSetEquiv K J).symm a) = ↑↑a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 340 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- SetLike.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- Idealstatement and proof · cited by 4,748
- Equiv.symmstatement and proof · cited by 3,681
- Submonoidstatement · cited by 3,086
- nonZeroDivisorsstatement and proof · cited by 895
- NumberFieldstatement and proof · cited by 653
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