Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.prod_expMapBasis_pow
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.realSpace K),
∏ w, ↑NumberField.mixedEmbedding.fundamentalCone.expMapBasis x w ^ w.mult =
Real.exp (x NumberField.Units.dirichletUnitTheorem.w₀) ^ Module.finrank ℚ K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 334 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.
Cites40
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Finsetproof · cited by 13,712
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- mul_oneproof · cited by 3,885
- Equiv.symmproof · cited by 3,681
- Finset.univstatement and proof · cited by 3,473
- FunLikeproof · cited by 2,560
- Finset.prodstatement and proof · cited by 2,356
- Units.valproof · cited by 1,966
- Module.finrankstatement and proof · cited by 1,770
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasisproof · cited by 3