Theorems · Theorem · functional analysis
CFC.continuous_abs
∀ {A : Type u_2} [inst : NonUnitalNormedRing A] [inst_1 : StarRing A] [ContinuousStar A] [inst_3 : NormedSpace ℝ A]
[inst_4 : SMulCommClass ℝ A A] [inst_5 : IsScalarTower ℝ A A]
[inst_6 : NonUnitalIsometricContinuousFunctionalCalculus ℝ A IsSelfAdjoint] [inst_7 : PartialOrder A]
[inst_8 : StarOrderedRing A] [inst_9 : NonnegSpectrumClass ℝ A] [CompleteSpace A], Continuous CFC.abs- Cited by
- 0 results in Mathlib
- Foundations
- Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- PartialOrderstatement and proof · cited by 6,410
- IsScalarTowerstatement and proof · cited by 3,896
- Continuousstatement · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- StarOrderedRingstatement and proof · cited by 587
- IsSelfAdjointstatement and proof · cited by 545
- ContinuousStarstatement and proof · cited by 543
- continuous_id'proof · cited by 295
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