Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.nonneg_of_mem_compactSet
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] {x : NumberField.mixedEmbedding.realSpace K},
x ∈ NumberField.mixedEmbedding.fundamentalCone.compactSet K → ∀ (w : NumberField.InfinitePlace K), 0 ≤ x w- Cited by
- 1 results in Mathlib
- Foundations
- Depth 332 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
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- Set.univproof · cited by 3,945
- LT.lt.leproof · cited by 2,189
- Set.Iccproof · cited by 1,702
- OpenPartialHomeomorph.toFun'proof · cited by 745
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- Set.piproof · cited by 405
- mul_nonnegproof · cited by 397
Cited by1
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