Theorems · Definition
PMF.pure
{α : Type u_1} → α → PMF αThe pure PMF is the PMF where all the mass lies in one point.
The value of pure a is 1 at a and 0 elsewhere.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PMFstatement · cited by 127
Cited by24
Results whose statement or proof uses this declaration.
- PMF.mapproof · cited by 16
- PMF.seqproof · cited by 4
- PMF.pure_bindstatement · cited by 3
- PMF.support_purestatement and proof · cited by 3
- PMF.bind_purestatement and proof · cited by 2
- PMF.toOuterMeasure_pure_applystatement and proof · cited by 2
- PMF.mem_support_pure_iffstatement · cited by 1
- PMF.toMeasure_purestatement · cited by 1
- PMF.toMeasure_pure_applystatement and proof · cited by 1
- PMF.pure_apply_of_nestatement · cited by 1
- PMF.pure_apply_selfstatement · cited by 1
- PMF.toOuterMeasure_map_applyproof · cited by 1