Theorems · Theorem · number theory
NumberField.one_le_house_of_isIntegral
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {α : K}, IsIntegral ℤ α → α ≠ 0 → 1 ≤ NumberField.house α- Defined in
- Mathlib.NumberTheory.NumberField.House
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- IsIntegralstatement and proof · cited by 427
- NumberField.RingOfIntegersproof · cited by 413
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