Theorems · Theorem · functional analysis
RCLike.norm_coe_norm
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E] {z : E}, ‖↑‖z‖‖ = ‖z‖- Cited by
- 4 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLikeNormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement and proof · cited by 5,413
- RCLikestatement and proof · cited by 2,829
- RCLike.ofRealstatement · cited by 350
- norm_normproof · cited by 113
- norm_algebraMap'proof · cited by 39
Cited by4
Results whose statement or proof uses this declaration.
- hasFDerivAt_of_tendstoUniformlyOnFilterproof · cited by 2
- difference_quotients_converge_uniformlyproof · cited by 1
- LinearMap.bound_of_sphere_boundproof · cited by 1
- ContinuousLinearEquiv.coord_norm'proof · cited by 1