Theorems · Theorem · number theory
NumberField.house_mul_le
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (α β : K),
NumberField.house (α * β) ≤ NumberField.house α * NumberField.house β- Defined in
- Mathlib.NumberTheory.NumberField.House
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites9
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 · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Norm.normproof · cited by 5,413
- map_mulproof · cited by 1,137
- NumberFieldstatement and proof · cited by 653
- norm_mul_leproof · cited by 31
- NumberField.canonicalEmbeddingproof · cited by 27
- NumberField.housestatement · cited by 15
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