Theorems · Theorem · functional analysis
CompactlySupportedContinuousMap.eq_toNNRealLinear_toRealPositiveLinear
∀ {α : Type u_2} [inst : TopologicalSpace α] (Λ : CompactlySupportedContinuousMap α NNReal →ₗ[NNReal] NNReal),
CompactlySupportedContinuousMap.toNNRealLinear (CompactlySupportedContinuousMap.toRealPositiveLinear Λ) = Λ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement and proof · cited by 18,349
- LinearMapstatement and proof · cited by 10,215
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- LinearMap.extproof · cited by 844
- NNReal.eqproof · cited by 201
- CompactlySupportedContinuousMapstatement and proof · cited by 134
- CompactlySupportedContinuousMap.toNNRealLinearstatement · cited by 6
- CompactlySupportedContinuousMap.toRealPositiveLinearstatement · cited by 4
- CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toRealproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NNRealRMK.integral_rieszMeasureproof · cited by 3