Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.ext
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace β]
{f g : α →ₘ[μ] β}, ↑f =ᵐ[μ] ↑g → f = g- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEEqFun.caststatement and proof · cited by 380
- MeasureTheory.AEEqFun.mkproof · cited by 62
- MeasureTheory.AEEqFun.aestronglyMeasurableproof · cited by 26
- MeasureTheory.AEEqFun.mk_coeFnproof · cited by 11
- MeasureTheory.AEEqFun.mk_eq_mkproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.extproof · cited by 27
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_idproof · cited by 2
- QuasiErgodic.eq_const_of_compQuasiMeasurePreserving_eqproof · cited by 1
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_compproof · cited by 1
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_congrproof · cited by 1
- MeasureTheory.AEEqFun.ext_iffproof · cited by 0
- MeasureTheory.AEEqFun.toGerm_injectiveproof · cited by 0