Theorems · Theorem · functional analysis
ContinuousLinearMap.smulRightL_apply_apply
∀ (𝕜 : Type u_1) (E : Type u_4) (Fₗ : Type u_7) [inst : SeminormedAddCommGroup E] [inst_1 : SeminormedAddCommGroup Fₗ] [inst_2 : NontriviallyNormedField 𝕜] [inst_3 : NormedSpace 𝕜 E] [inst_4 : NormedSpace 𝕜 Fₗ] (x : StrongDual 𝕜 E) (f : Fₗ), ((ContinuousLinearMap.smulRightL 𝕜 E Fₗ) x) f = ContinuousLinearMap.smulRight x f
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- StrongDualstatement and proof · cited by 459
- ContinuousLinearMap.smulRightstatement · cited by 126
- ContinuousLinearMap.smulRightLstatement and proof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- hasDerivAt_integral_of_dominated_loc_of_lipproof · cited by 2
- ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquivproof · cited by 2
- UniformCauchySeqOnFilter.one_smulRightproof · cited by 1
- Convex.exists_forall_hasDerivWithinAtproof · cited by 0