Theorems · Theorem · functional analysis
CFC.posPart_algebraMap_nnreal
∀ {A : Type u_1} [inst : Ring A] [inst_1 : Algebra ℝ A] [inst_2 : StarRing A] [inst_3 : TopologicalSpace A]
[inst_4 : ContinuousFunctionalCalculus ℝ A IsSelfAdjoint] [T2Space A] (r : NNReal),
((algebraMap NNReal A) r)⁺ = (algebraMap NNReal A) r- Cited by
- 1 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapstatement and proof · cited by 4,706
- NNRealstatement and proof · cited by 4,310
- StarRingstatement and proof · cited by 1,686
- T2Spacestatement and proof · cited by 1,351
- NNReal.toRealproof · cited by 1,260
- IsSelfAdjointstatement and proof · cited by 545
Cited by1
Results whose statement or proof uses this declaration.
- CFC.posPart_natCastproof · cited by 0