Theorems · Theorem · functional analysis
ContinuousLinearMap.reApplyInnerSelf_continuous
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : SeminormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
(T : E →L[𝕜] E), Continuous T.reApplyInnerSelf- Cited by
- 2 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- ContinuousLinearMapstatement and proof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Continuousstatement · cited by 2,592
- Continuous.compproof · cited by 371
- continuous_idproof · cited by 192
- ContinuousLinearMap.continuousproof · cited by 124
- RCLike.reCLMproof · cited by 20
- Continuous.innerproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensionalproof · cited by 1
- LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensionalproof · cited by 0