Theorems · Definition
PMF.bindOnSupport
{α : Type u_1} → {β : Type u_2} → (p : PMF α) → ((a : α) → a ∈ p.support → PMF β) → PMF βGeneralized version of bind allowing f to only be defined on the support of p.
p.bind f is equivalent to p.bindOnSupport (fun a _ ↦ f a), see bindOnSupport_eq_bind.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- PMFstatement and proof · cited by 127
- PMF.supportstatement and proof · cited by 58
Cited by11
Results whose statement or proof uses this declaration.
- PMF.bindOnSupport_eq_bindstatement · cited by 1
- PMF.toOuterMeasure_bindOnSupport_applystatement and proof · cited by 1
- PMF.mem_support_bindOnSupport_iffstatement · cited by 1
- PMF.support_bindOnSupportstatement and proof · cited by 1
- PMF.bindOnSupport_applystatement · cited by 1
- PMF.bindOnSupport_bindOnSupportstatement and proof · cited by 0
- PMF.bindOnSupport_commstatement · cited by 0
- PMF.bindOnSupport_eq_zero_iffstatement · cited by 0
- PMF.bindOnSupport_purestatement · cited by 0
- PMF.pure_bindOnSupportstatement · cited by 0
- PMF.toMeasure_bindOnSupport_applystatement and proof · cited by 0