Theorems · Theorem · commutative algebra
isNonarchimedean_spectralNorm
∀ {K : Type u_2} [inst : NormedField K] {L : Type u_3} [inst_1 : Field L] [inst_2 : Algebra K L] [IsUltrametricDist K]
[h_alg : Algebra.IsAlgebraic K L], IsNonarchimedean (spectralNorm K L)The spectral norm is nonarchimedean.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- FiniteDimensionalproof · cited by 1,854
- NormedFieldstatement and proof · cited by 1,084
- IntermediateFieldproof · cited by 988
- map_addproof · cited by 964
- IntermediateField.adjoinproof · cited by 382
- Algebra.IsAlgebraicstatement and proof · cited by 322
- IsUltrametricDiststatement and proof · cited by 177
Cited by1
Results whose statement or proof uses this declaration.
- PadicAlgCl.isNonarchimedeanproof · cited by 0