Theorems · Theorem · commutative algebra
Algebra.norm_natCast
∀ (R : Type u_1) {S : Type u_2} [inst : CommRing R] [inst_1 : Ring S] [inst_2 : Algebra R S] [Module.Free R S] (n : ℕ),
(Algebra.norm R) ↑n = ↑n ^ Module.finrank R S- Defined in
- Mathlib.RingTheory.Norm.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
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.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- Module.finrankstatement and proof · cited by 1,770
- Module.Freestatement and proof · cited by 597
- Algebra.normstatement and proof · cited by 155
- map_natCastproof · cited by 134
- Algebra.norm_algebraMapproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.absNorm_span_natCastproof · cited by 1