Theorems · Theorem · number theory
NumberField.house.basis_repr_norm_le_const_mul_house
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] [inst_2 : DecidableEq (K →+* ℂ)]
(α : NumberField.RingOfIntegers K) (i : K →+* ℂ),
‖↑((((NumberField.integralBasis K).reindex (NumberField.equivReindex K).symm).repr ↑α) i)‖ ≤
NumberField.house.c✝ K * NumberField.house ((algebraMap (NumberField.RingOfIntegers K) K) α)- Defined in
- Mathlib.NumberTheory.NumberField.House
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberFieldDecidableEq
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