Theorems · Theorem · measure theory
MeasureTheory.Measure.bind_const
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {m : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β}, (m.bind fun x => ν) = m Set.univ • ν- Defined in
- Mathlib.MeasureTheory.Measure.GiryMonad
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.univstatement and proof · cited by 3,945
- MeasureTheory.Measure.diracproof · cited by 210
- MeasureTheory.Measure.bindstatement · cited by 173
- MeasureTheory.Measure.joinproof · cited by 26
- MeasureTheory.Measure.map_constproof · cited by 6
- MeasureTheory.Measure.join_diracproof · cited by 2
- MeasureTheory.Measure.join_smulproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.const_compproof · cited by 28
- MeasureTheory.Measure.prod_zeroproof · cited by 3
- MeasureTheory.Measure.bind_zero_right'proof · cited by 1