Theorems · Theorem · functional analysis
VonNeumannAlgebra.ext
∀ {H : Type u} [inst : NormedAddCommGroup H] [inst_1 : InnerProductSpace ℂ H] [inst_2 : CompleteSpace H]
{S T : VonNeumannAlgebra H}, (∀ (x : H →L[ℂ] H), x ∈ S ↔ x ∈ T) → S = T- Defined in
- Mathlib.Analysis.VonNeumannAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement and proof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- CompleteSpacestatement and proof · cited by 2,532
- SetLike.extproof · cited by 92
- VonNeumannAlgebrastatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- VonNeumannAlgebra.ext_iffproof · cited by 0