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Theorems · Theorem · probability

PMF.coe_le_one

∀ {α : Type u_1} (p : PMF α) (a : α), p a ≤ 1
Defined in
Mathlib.Probability.ProbabilityMassFunction.Basic
Cited by
1 results in Mathlib
Foundations
Depth 128 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.apply_ne_top · cited by 1PMF.apply_ne_topDFunLike.coe · cited by 62936DFunLike.coeENNReal · cited by 9879ENNRealSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…PMF · cited by 127PMFhasSum_le · cited by 11hasSum_lehasSum_ite_eq · cited by 6hasSum_ite_eqPMF.hasSum_coe_one · cited by 2PMF.hasSum_coe_onePMF.coe_le_oneCITED BYCITES

Cites7

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.