Mathlib Map

Theorems · Theorem

PMF.bind_pure

∀ {α : Type u_1} (p : PMF α), p.bind PMF.pure = p
Defined in
Mathlib.Probability.ProbabilityMassFunction.Monad
Cited by
2 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.map_id · cited by 0PMF.map_idPMF.bindOnSupport_pure · cited by 0PMF.bindOnSupport_pureDFunLike.coe · cited by 62936DFunLike.coeENNReal · cited by 9879ENNRealmul_one · cited by 3885mul_oneMulZeroClass.mul_zero · cited by 2091MulZeroClass.mul_zeroPMF · cited by 127PMFtrans · cited by 111transPMF.pure · cited by 22PMF.puretsum_eq_single · cited by 19tsum_eq_singlePMF.bind · cited by 16PMF.bindPMF.ext · cited by 15PMF.extPMF.bind_apply · cited by 2PMF.bind_applyPMF.pure_apply_of_ne · cited by 1PMF.pure_apply_of_nePMF.pure_apply_self · cited by 1PMF.pure_apply_selfPMF.bind_pureCITED BYCITES

Cites13

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

Cited by2

Results whose statement or proof uses this declaration.