Theorems · Theorem · number theory
NumberField.mixedEmbedding.unit_smul_eq_iff_mul_eq
∀ {K : Type u_1} [inst : Field K] [NumberField K] {x y : NumberField.RingOfIntegers K}
{u : (NumberField.RingOfIntegers K)ˣ},
u • (NumberField.mixedEmbedding K) ↑x = (NumberField.mixedEmbedding K) ↑y ↔ ↑u * x = y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites21
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.RingOfIntegersstatement and proof · cited by 413
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