Theorems · Theorem · functional analysis
StrongDual.norm_extendRCLike
∀ {𝕜 : Type u_1} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : SeminormedAddCommGroup F] [inst_2 : NormedSpace 𝕜 F]
[inst_3 : NormedSpace ℝ F] [inst_4 : IsScalarTower ℝ 𝕜 F] (fr : StrongDual ℝ F), ‖fr.extendRCLike‖ = ‖fr‖- Cited by
- 2 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- Norm.normstatement and proof · cited by 5,413
- IsScalarTowerstatement and proof · cited by 3,896
- RCLikestatement and proof · cited by 2,829
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- le_antisymmproof · cited by 2,068
- absproof · cited by 1,814
- norm_nonnegproof · cited by 725
- StrongDualstatement and proof · cited by 459
Cited by3
Results whose statement or proof uses this declaration.
- StrongDual.extendRCLikeₗᵢproof · cited by 4
- ContinuousLinearMap.norm_extendTo𝕜proof · cited by 0
- ContinuousLinearMap.norm_extendTo𝕜'proof · cited by 0