Theorems · Theorem · commutative algebra
algNormFromConst_def
∀ {K : Type u} [inst : NontriviallyNormedField K] {L : Type v} [inst_1 : Field L] [inst_2 : Algebra K L]
[inst_3 : Algebra.IsAlgebraic K L] [hu : IsUltrametricDist K] (h1 : (spectralAlgNorm K L).toRingSeminorm 1 ≤ 1)
{x y : L} (hx : x ≠ 0), (algNormFromConst h1 hx) y = (seminormFromConst h1 ⋯ ⋯) y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Realstatement · cited by 25,697
- Algebrastatement and proof · cited by 11,388
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Fieldstatement and proof · cited by 7,404
- ne_of_gtstatement · cited by 637
- Algebra.IsAlgebraicstatement and proof · cited by 322
- IsUltrametricDiststatement and proof · cited by 177
- RingSeminormstatement · cited by 58
- Algebra.IsAlgebraic.isAlgebraicstatement · cited by 51
- AlgebraNormstatement · cited by 39
- RingNorm.toRingSeminormstatement and proof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.