Theorems · Theorem · functional analysis
Module.Dual.re_extendRCLike_apply
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {F : Type u_2} [inst_1 : AddCommGroup F] [inst_2 : Module ℝ F] [inst_3 : Module 𝕜 F]
[inst_4 : IsScalarTower ℝ 𝕜 F] (fr : Module.Dual ℝ F) (x : F), RCLike.re (fr.extendRCLike x) = fr x- Defined in
- Mathlib.Analysis.RCLike.Extend
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- 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
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- sub_zeroproof · cited by 938
- Module.Dualstatement and proof · cited by 583
Cited by2
Results whose statement or proof uses this declaration.
- Module.Dual.norm_extendRCLike_apply_sqproof · cited by 2
- LinearMap.extendTo𝕜'_apply_reproof · cited by 0