Theorems · Theorem · general topology
enorm_map
∀ {𝓕 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : SeminormedAddGroup E] [inst_1 : SeminormedAddGroup F]
[inst_2 : FunLike 𝓕 E F] [IsometryClass 𝓕 E F] [ZeroHomClass 𝓕 E F] (f : 𝓕) (x : E), ‖f x‖ₑ = ‖x‖ₑ- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 159 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
- ENNRealstatement · cited by 9,879
- FunLikestatement and proof · cited by 2,560
- ENNReal.ofNNRealproof · cited by 1,279
- NNNorm.nnnormproof · cited by 952
- ENorm.enormstatement · cited by 715
- SeminormedAddGroupstatement and proof · cited by 331
- ZeroHomClassstatement and proof · cited by 74
- IsometryClassstatement and proof · cited by 19
- nnnorm_mapproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- LinearIsometry.enorm_mapproof · cited by 5
- enorm_sub_le_lintegral_deriv_of_contDiffOn_Iccproof · cited by 1
- LinearIsometryEquiv.enorm_mapproof · cited by 0