Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.mk_eq_mk
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace β]
{f g : α → β} {hf : MeasureTheory.AEStronglyMeasurable f μ} {hg : MeasureTheory.AEStronglyMeasurable g μ},
MeasureTheory.AEEqFun.mk f hf = MeasureTheory.AEEqFun.mk g hg ↔ f =ᵐ[μ] g- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasureTheory.AEEqFunstatement · cited by 856
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEEqFun.mkstatement · cited by 62
- Quotient.eq''proof · cited by 44
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.AEEqFun.coeFn_mkproof · cited by 18
- MeasureTheory.AEEqFun.mk_coeFnproof · cited by 11
- MeasureTheory.AEEqFun.extproof · cited by 7
- MeasureTheory.Lp.simpleFunc.toSimpleFunc_toLpproof · cited by 2
- MeasureTheory.AEEqFun.lintegral_eq_zero_iffproof · cited by 0