Theorems · Theorem · functional analysis
nnnormHom_apply
∀ {α : Type u_2} [inst : SeminormedRing α] [inst_1 : NormOneClass α] [inst_2 : NormMulClass α] (x : α),
nnnormHom x = ‖x‖₊- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- MonoidWithZeroHomstatement · cited by 704
- SeminormedRingstatement and proof · cited by 446
- NormOneClassstatement and proof · cited by 136
- NormMulClassstatement and proof · cited by 66
- nnnormHomstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.coeff_le_of_roots_leproof · cited by 1