Theorems · Theorem · functional analysis
nnnorm_algebraMap
∀ {𝕜 : Type u_1} (𝕜' : Type u_2) [inst : NormedField 𝕜] [inst_1 : SeminormedRing 𝕜'] [inst_2 : NormedAlgebra 𝕜 𝕜']
(x : 𝕜), ‖(algebraMap 𝕜 𝕜') x‖₊ = ‖x‖₊ * ‖1‖₊- Defined in
- Mathlib.Analysis.Normed.Module.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- NNRealstatement · cited by 4,310
- NormedAlgebrastatement and proof · cited by 1,165
- NormedFieldstatement and proof · cited by 1,084
- NNNorm.nnnormstatement · cited by 952
- SeminormedRingstatement and proof · cited by 446
- norm_algebraMapproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.linfty_opNNNorm_eq_opNNNormproof · cited by 2