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Theorems · Theorem · operator theory

LinearMap.isPositive_id

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E],
  LinearMap.id.IsPositive
Defined in
Mathlib.Analysis.InnerProductSpace.Positive
Cited by
1 results in Mathlib
Foundations
Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLikeNormedAddCommGroupInnerProductSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousLinearMap.isPositive_id · cited by 0ContinuousLinearMap.isPos…NormedAddCommGroup · cited by 15752NormedAddCommGroupInnerProductSpace · cited by 3523InnerProductSpaceRCLike · cited by 2829RCLikeLinearMap.id · cited by 625LinearMap.idLinearMap.IsPositive · cited by 39LinearMap.IsPositiveLinearMap.isPositive_one · cited by 5LinearMap.isPositive_oneLinearMap.isPositive_idCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.