Theorems · Theorem · operator theory
LinearMap.isPositive_natCast
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
{n : ℕ}, (↑n).IsPositive- Cited by
- 2 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Moduleproof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommMonoidproof · cited by 12,281
- LinearMapstatement · cited by 10,215
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- MulZeroClass.mul_zeroproof · cited by 2,091
- Inner.innerproof · cited by 1,089
- sub_zeroproof · cited by 938
- starRingEndproof · cited by 671
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.isPositive_natCastproof · cited by 1
- LinearMap.isPositive_ofNatproof · cited by 0