Theorems · Theorem · functional analysis
PositiveLinearMap.leftMulMapPreGNS_mul_eq_comp
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] (f : A →ₚ[ℂ] ℂ) [inst_2 : StarOrderedRing A]
(a b : A), f.leftMulMapPreGNS (a * b) = f.leftMulMapPreGNS a ∘SL f.leftMulMapPreGNS b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 322 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- mul_assocproof · cited by 1,667
- ContinuousLinearMap.compstatement · cited by 709
- StarOrderedRingstatement and proof · cited by 587
- ContinuousLinearMap.extproof · cited by 320
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- Complex.partialOrderstatement · cited by 64
- PositiveLinearMapstatement and proof · cited by 52
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