Theorems · Theorem · functional analysis
WeakDual.extendRCLikeL_apply
∀ {𝕜 : Type u_5} {F : Type u_7} [inst : RCLike 𝕜] [inst_1 : AddCommGroup F] [inst_2 : Module 𝕜 F]
[inst_3 : TopologicalSpace F] [inst_4 : ContinuousConstSMul 𝕜 F] [inst_5 : Module ℝ F] [inst_6 : IsScalarTower ℝ 𝕜 F]
(x : WeakDual ℝ F),
WeakDual.extendRCLikeL x = StrongDual.toWeakDual (StrongDual.extendRCLikeₗ (WeakDual.toStrongDual x))- Defined in
- Mathlib.Analysis.Normed.Module.WeakDual
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivstatement · cited by 3,317
- RCLikestatement and proof · cited by 2,829
- ContinuousConstSMulstatement and proof · cited by 832
- ContinuousLinearEquivstatement · cited by 743
- StrongDualstatement · cited by 459
Cited by1
Results whose statement or proof uses this declaration.
- WeakDual.im_extendRCLikeL_apply_applyproof · cited by 0