Theorems · Theorem · probability
PMF.normalize_apply
∀ {α : Type u_1} {f : α → ENNReal} (hf0 : tsum f ≠ 0) (hf : tsum f ≠ ⊤) (a : α),
(PMF.normalize f hf0 hf) a = f a * (∑' (x : α), f x)⁻¹- Cited by
- 1 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- PMFstatement · cited by 127
- PMF.normalizestatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- PMF.filter_applyproof · cited by 1