Theorems · Theorem · functional analysis
CFC.log_one
∀ {A : Type u_1} [inst : NormedRing A] [inst_1 : StarRing A] [inst_2 : NormedAlgebra ℝ A]
[inst_3 : ContinuousFunctionalCalculus ℝ A IsSelfAdjoint], CFC.log 1 = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- Algebra.algebraMapproof · cited by 4,706
- StarRingstatement and proof · cited by 1,686
- map_zeroproof · cited by 1,614
- NormedAlgebrastatement and proof · cited by 1,165
- NormedRingstatement and proof · cited by 924
- IsSelfAdjointstatement and proof · cited by 545
- ContinuousFunctionalCalculusstatement and proof · cited by 331
- Real.log_oneproof · cited by 91
- CFC.logstatement · cited by 17
- cfc_apply_oneproof · cited by 5
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