Theorems · Theorem · measure theory
ContinuousMap.coeFn_toAEEqFun
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] (μ : MeasureTheory.Measure α) [inst_1 : TopologicalSpace α]
[inst_2 : BorelSpace α] [inst_3 : TopologicalSpace β] [inst_4 : SecondCountableTopologyEither α β]
[inst_5 : TopologicalSpace.PseudoMetrizableSpace β] (f : C(α, β)), ↑(ContinuousMap.toAEEqFun μ f) =ᵐ[μ] ⇑f- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ContinuousMapstatement and proof · cited by 2,491
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.AEEqFun.caststatement · cited by 380
- TopologicalSpace.PseudoMetrizableSpacestatement and proof · cited by 245
- SecondCountableTopologyEitherstatement and proof · cited by 117
- MeasureTheory.AEEqFun.coeFn_mkproof · cited by 18
Cited by6
Results whose statement or proof uses this declaration.
- BoundedContinuousFunction.mem_Lpproof · cited by 4
- fourierCoeff_toLpproof · cited by 2
- Polynomial.sum_sq_norm_coeff_eq_circleAverageproof · cited by 1
- BoundedContinuousFunction.Lp_nnnorm_leproof · cited by 1
- UnitAddTorus.mFourierCoeff_toLpproof · cited by 1
- ContinuousMap.memLpproof · cited by 0