Theorems · Theorem · functional analysis
CFC.negPart_one
∀ {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], 1⁻ = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Algebra.algebraMapproof · cited by 4,706
- StarRingstatement and proof · cited by 1,686
- map_zeroproof · cited by 1,614
- T2Spacestatement and proof · cited by 1,351
- IsSelfAdjointstatement and proof · cited by 545
- neg_zeroproof · cited by 542
- ContinuousFunctionalCalculusstatement and proof · cited by 331
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