Theorems · Theorem · commutative algebra
Algebra.norm_eq_of_ringEquiv
∀ {A : Type u_8} {B : Type u_9} {C : Type u_10} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Ring C]
[inst_3 : Algebra A C] [inst_4 : Algebra B C] (e : A ≃+* B),
(algebraMap B C).comp ↑e = algebraMap A C → ∀ (x : C), e ((Algebra.norm A) x) = (Algebra.norm B) x- Defined in
- Mathlib.RingTheory.Norm.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites44
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
- CommRingstatement and proof · cited by 17,173
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fintypeproof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapstatement and proof · cited by 4,706
- Matrixproof · cited by 4,303
- IsScalarTowerproof · cited by 3,896
- MonoidHomstatement · cited by 3,629
- Module.Basisproof · cited by 1,477
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.norm_eq_of_equiv_equivproof · cited by 1