Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis_ne_zero
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.realSpace K),
NumberField.mixedEmbedding.norm
(NumberField.mixedEmbedding.mixedSpaceOfRealSpace (↑NumberField.mixedEmbedding.fundamentalCone.expMapBasis x)) ≠
0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 336 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- NumberField.InfinitePlacestatement · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasisproof · cited by 0