Mathlib Map

Theorems · Theorem · probability

PMF.map_const

∀ {α : Type u_1} {β : Type u_2} (p : PMF α) (b : β), PMF.map (Function.const α b) p = PMF.pure b
Defined in
Mathlib.Probability.ProbabilityMassFunction.Constructions
Cited by
0 results in Mathlib
Foundations
Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PMF · cited by 127PMFPMF.pure · cited by 22PMF.purePMF.map · cited by 16PMF.mapPMF.bind_const · cited by 1PMF.bind_constPMF.map_constCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.