Theorems · Theorem
PMF.bind_bind
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (p : PMF α) (f : α → PMF β) (g : β → PMF γ),
(p.bind f).bind g = p.bind fun a => (f a).bind g- Cited by
- 3 results in Mathlib
- Foundations
- Depth 142 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.
- DFunLike.coeproof · cited by 62,936
- ENNRealproof · cited by 9,879
- SummationFilter.unconditionalproof · cited by 2,068
- mul_assocproof · cited by 1,667
- tsumproof · cited by 1,148
- PMFstatement and proof · cited by 127
- ENNReal.tsum_mul_leftproof · cited by 21
- PMF.bindstatement · cited by 16
- PMF.extproof · cited by 15
- ENNReal.tsum_commproof · cited by 8
- ENNReal.tsum_mul_rightproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- PMF.map_compproof · cited by 0
- PMF.bind_mapproof · cited by 0
- PMF.map_bindproof · cited by 0