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Theorems · Theorem

PMF.support_bind

∀ {α : Type u_1} {β : Type u_2} (p : PMF α) (f : α → PMF β), (p.bind f).support = ⋃ a ∈ p.support, (f a).support
Defined in
Mathlib.Probability.ProbabilityMassFunction.Monad
Cited by
3 results in Mathlib
Foundations
Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

PMF.support_map · cited by 1PMF.support_mapPMF.support_seq · cited by 1PMF.support_seqPMF.mem_support_bind_iff · cited by 0PMF.mem_support_bind_iffDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSet.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.bind · cited by 16PMF.bindPMF.support_bindCITED BYCITES

Cites8

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

Cited by3

Results whose statement or proof uses this declaration.