Theorems · Theorem · functional analysis
CFC.abs_natCast
∀ {A : Type u_2} [inst : Ring A] [inst_1 : StarRing A] [inst_2 : TopologicalSpace A] [inst_3 : Algebra ℝ A]
[inst_4 : ContinuousFunctionalCalculus ℝ A IsSelfAdjoint] [inst_5 : PartialOrder A] [inst_6 : StarOrderedRing A]
[inst_7 : NonnegSpectrumClass ℝ A] [IsTopologicalRing A] [T2Space A] [StarModule ℝ A] (n : ℕ), CFC.abs ↑n = ↑n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Algebra.algebraMapproof · cited by 4,706
- NNRealproof · cited by 4,310
- StarRingstatement and proof · cited by 1,686
- T2Spacestatement and proof · cited by 1,351
- StarOrderedRingstatement and proof · cited by 587
- StarModulestatement and proof · cited by 570
Cited by2
Results whose statement or proof uses this declaration.
- CFC.abs_intCastproof · cited by 0
- CFC.abs_ofNatproof · cited by 0