Theorems · Theorem · functional analysis
cfcHom_nnreal_eq_restrict
∀ {A : Type u_1} [inst : TopologicalSpace A] [inst_1 : Ring A] [inst_2 : PartialOrder A] [inst_3 : StarRing A]
[inst_4 : StarOrderedRing A] [inst_5 : Algebra ℝ A] [IsSemitopologicalRing A] [T2Space A]
[inst_8 : ContinuousFunctionalCalculus ℝ A IsSelfAdjoint] [inst_9 : NonnegSpectrumClass ℝ A] {a : A} (ha : 0 ≤ a),
cfcHom ha = SpectrumRestricts.starAlgHom (cfcHom ⋯) ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Set.Elemstatement · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- NNRealstatement · cited by 4,310
- ContinuousMapstatement · cited by 2,491
- StarRingstatement and proof · cited by 1,686
- T2Spacestatement and proof · cited by 1,351
- StarOrderedRingstatement and proof · cited by 587
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