Theorems · Theorem · harmonic analysis
ContinuousMap.toAEEqFun.congr_simp
∀ {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 f_1 : C(α, β)),
f = f_1 → ContinuousMap.toAEEqFun μ f = ContinuousMap.toAEEqFun μ f_1- Defined in
- Mathlib.Analysis.Polynomial.Fourier
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.AEEqFunstatement · cited by 856
- TopologicalSpace.PseudoMetrizableSpacestatement and proof · cited by 245
- SecondCountableTopologyEitherstatement and proof · cited by 117
- ContinuousMap.toAEEqFunstatement and proof · cited by 8
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