Theorems · Theorem · linear algebra
LinearMap.isLowerSet_support_singularValues
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
[inst_3 : FiniteDimensional 𝕜 E] {F : Type u_3} [inst_4 : NormedAddCommGroup F] [inst_5 : InnerProductSpace 𝕜 F]
[inst_6 : FiniteDimensional 𝕜 F] (T : E →ₗ[𝕜] F), IsLowerSet ↑T.singularValues.support- Cited by
- 1 results in Mathlib
- Foundations
- Depth 261 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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 · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetstatement · cited by 13,712
- LinearMapstatement and proof · cited by 10,215
- SetLike.coestatement and proof · cited by 8,199
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- FiniteDimensionalstatement and proof · cited by 1,854
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.support_singularValuesproof · cited by 3