Step
*
1
of Lemma
find-random_wf
1. p : FinProbSpace
2. a : Atom2
3. b : Atom2
4. C : p-open(p)
5. measure(C) = 1
6. a#C:p-open(p) ∨ b#C:p-open(p)
⊢ find-random{2}(C;p;a;b) ∈ {n:ℕ| (C <n, random(p;a;b)>) = 1 ∈ ℤ}
BY
{ ((Unfold `member` 0 THEN Refine `findRandomEquality` []) THEN Auto) }
Latex:
1. p : FinProbSpace
2. a : Atom2
3. b : Atom2
4. C : p-open(p)
5. measure(C) = 1
6. a\#C:p-open(p) \mvee{} b\#C:p-open(p)
\mvdash{} find-random\{2\}(C;p;a;b) \mmember{} \{n:\mBbbN{}| (C <n, random(p;a;b)>) = 1\}
By
((Unfold `member` 0 THEN Refine `findRandomEquality` []) THEN Auto)
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