Theorems · Theorem · commutative algebra
Algebra.norm_self
∀ (R : Type u_1) [inst : CommRing R], Algebra.norm R = MonoidHom.id R
- Defined in
- Mathlib.RingTheory.Norm.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- MonoidHom.idstatement · cited by 323
- Algebra.normstatement · cited by 155
- MonoidHom.extproof · cited by 109
- LinearMap.mulproof · cited by 61
- MonoidHom.id_applyproof · cited by 33
- LinearMap.mul_apply_applyproof · cited by 25
- LinearMap.det_ringproof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- Int.ideal_span_absNorm_eq_selfproof · cited by 4
- Ideal.natAbs_pow_inertiaDegproof · cited by 4
- IsCyclotomicExtension.Rat.absNorm_span_zeta_sub_oneproof · cited by 2
- Ideal.absNorm_eq_pow_inertiaDegproof · cited by 1
- Int.card_ideal_quotproof · cited by 1
- Int.prime_absNormproof · cited by 0