Theorems · Definition · functional analysis
normHom
{α : Type u_2} → [inst : SeminormedRing α] → [NormOneClass α] → [NormMulClass α] → α →*₀ ℝnorm as a MonoidWithZeroHom.
- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normproof · cited by 5,413
- MonoidWithZeroHomstatement · cited by 704
- SeminormedRingstatement and proof · cited by 446
- NormOneClassstatement and proof · cited by 136
- NormMulClassstatement and proof · cited by 66
Cited by8
Results whose statement or proof uses this declaration.
- norm_invproof · cited by 126
- norm_powproof · cited by 106
- norm_divproof · cited by 53
- norm_zpowproof · cited by 18
- norm_prodproof · cited by 13
- IsOfFinOrder.norm_eq_oneproof · cited by 2
- List.norm_prodproof · cited by 0
- normHom_applystatement and proof · cited by 0