Theorems · Theorem · number theory
Algebra.coe_trace_int
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : NumberField.RingOfIntegers K),
↑((Algebra.trace ℤ (NumberField.RingOfIntegers K)) x) = (Algebra.trace ℚ K) ↑x- Defined in
- Mathlib.NumberTheory.NumberField.Norm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- nonZeroDivisorsproof · cited by 895
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- Algebra.tracestatement · cited by 90
- NumberField.RingOfIntegers.valstatement · cited by 74
- Algebra.trace_localizationproof · cited by 4
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