Mathlib Map

Theorems · Theorem · probability

PMF.apply_ne_top

∀ {α : Type u_1} (p : PMF α) (a : α), p a ≠ ⊤
Defined in
Mathlib.Probability.ProbabilityMassFunction.Basic
Cited by
1 results in Mathlib
Foundations
Depth 129 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.apply_lt_top · cited by 0PMF.apply_lt_topDFunLike.coe · cited by 62936DFunLike.coeENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.toplt_of_le_of_lt · cited by 432lt_of_le_of_ltne_of_lt · cited by 203ne_of_ltPMF · cited by 127PMFENNReal.one_lt_top · cited by 13ENNReal.one_lt_topPMF.coe_le_one · cited by 1PMF.coe_le_onePMF.apply_ne_topCITED BYCITES

Cites8

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.