Theorems · Theorem · field theory
Algebra.normalizedTrace_algebraMap_apply_eq_self
∀ (F : Type u_1) (K : Type u_2) [inst : Field F] [inst_1 : Field K] [inst_2 : Algebra F K] [inst_3 : CharZero F] [inst_4 : Algebra.IsIntegral F K] (a : F), (Algebra.normalizedTrace F K) ((algebraMap F K) a) = a
- Defined in
- Mathlib.FieldTheory.NormalizedTrace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- CharZerostatement and proof · cited by 932
- Algebra.IsIntegralstatement and proof · cited by 224
- Algebra.normalizedTracestatement · cited by 19
- Algebra.normalizedTrace_algebraMap_applyproof · cited by 3
- Algebra.normalizedTrace_selfproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.normalizedTrace_surjectiveproof · cited by 1
- Algebra.normalizedTrace_algebraMap_eq_idproof · cited by 0