Theorems · Theorem · commutative algebra
Algebra.norm_eq_of_algEquiv
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : Ring S] [inst_2 : Algebra R S]
[inst_3 : Ring T] [inst_4 : Algebra R T] (e : S ≃ₐ[R] T) (x : S), (Algebra.norm R) (e x) = (Algebra.norm R) x- Defined in
- Mathlib.RingTheory.Norm.Basic
- Cited by
- 2 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.
Cites22
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.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapproof · cited by 10,215
- Ringstatement and proof · cited by 7,463
- MonoidHomstatement and proof · cited by 3,629
- AlgEquivstatement and proof · cited by 1,681
- LinearMap.compproof · cited by 1,642
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- map_mulproof · cited by 1,137
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.norm_eq_of_equiv_equivproof · cited by 1
- Algebra.intNorm_map_algEquivproof · cited by 0