Mathlib Map

Theorems · Theorem · probability

PMF.support_map

∀ {α : Type u_1} {β : Type u_2} (f : α → β) (p : PMF α), (PMF.map f p).support = f '' p.support
Defined in
Mathlib.Probability.ProbabilityMassFunction.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 143 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.mem_support_map_iff · cited by 0PMF.mem_support_map_iffDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSet.image · cited by 5609Set.imageSet.iUnion · cited by 2483Set.iUnionSet.ext · cited by 2266Set.extSet.iUnion_congr_Prop · cited by 374Set.iUnion_congr_PropPMF · cited by 127PMFPMF.support · cited by 58PMF.supportPMF.pure · cited by 22PMF.purePMF.map · cited by 16PMF.mapPMF.support_bind · cited by 3PMF.support_bindPMF.support_pure · cited by 3PMF.support_purePMF.support_mapCITED BYCITES

Cites12

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

Cited by1

Results whose statement or proof uses this declaration.