Theorems · Theorem · commutative algebra
spectralAlgNorm_def
∀ {K : Type u_2} [inst : NormedField K] {L : Type u_3} [inst_1 : Field L] [inst_2 : Algebra K L]
[inst_3 : IsUltrametricDist K] [h_alg : Algebra.IsAlgebraic K L] (x : L), (spectralAlgNorm K L) x = spectralNorm K L x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- NormedFieldstatement and proof · cited by 1,084
- Algebra.IsAlgebraicstatement and proof · cited by 322
- IsUltrametricDiststatement and proof · cited by 177
- AlgebraNormstatement · cited by 39
- spectralNormstatement · cited by 31
- spectralAlgNormstatement · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- NormedAlgebra.norm_eq_spectralNormproof · cited by 1
- spectralNorm_unique_field_norm_extproof · cited by 0