Step
*
of Lemma
rv-le_wf
∀[p:FinProbSpace]. ∀[n:ℕ]. ∀[X,Y:RandomVariable(p;n)]. (X ≤ Y ∈ ℙ)
BY
{ (Unfolds ``rv-le random-variable`` 0
THEN Auto
THEN Try ((Fold `p-outcome` 0 THEN Auto))
THEN Try ((DVar `p' THEN Auto))) }
Latex:
\mforall{}[p:FinProbSpace]. \mforall{}[n:\mBbbN{}]. \mforall{}[X,Y:RandomVariable(p;n)]. (X \mleq{} Y \mmember{} \mBbbP{})
By
(Unfolds ``rv-le random-variable`` 0
THEN Auto
THEN Try ((Fold `p-outcome` 0 THEN Auto))
THEN Try ((DVar `p' THEN Auto)))
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