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Step * 1 2 2 3 1 2 1 of Lemma consensus-ts5_wf

.....subterm..... T:t
1:n
1. V : Type
2. A : Id List
3. W : {a:Id| (a ∈ A)}  List List
4. R : (ConsensusState × Knowledge(ConsensusState)) ─→ (ConsensusState × Knowledge(ConsensusState)) ─→ ℙ
5. s : ConsensusState × Knowledge(ConsensusState)
⊢ R^* ∈ (ConsensusState × Knowledge(ConsensusState)) ─→ (ConsensusState × Knowledge(ConsensusState)) ─→ ℙ
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Latex:


.....subterm.....  T:t
1:n
1.  V  :  Type
2.  A  :  Id  List
3.  W  :  \{a:Id|  (a  \mmember{}  A)\}    List  List
4.  R  :  (ConsensusState  \mtimes{}  Knowledge(ConsensusState))
{}\mrightarrow{}  (ConsensusState  \mtimes{}  Knowledge(ConsensusState))
{}\mrightarrow{}  \mBbbP{}
5.  s  :  ConsensusState  \mtimes{}  Knowledge(ConsensusState)
\mvdash{}  rel\_star(ConsensusState  \mtimes{}  Knowledge(ConsensusState);  R)
    \mmember{}  (ConsensusState  \mtimes{}  Knowledge(ConsensusState))
    {}\mrightarrow{}  (ConsensusState  \mtimes{}  Knowledge(ConsensusState))
    {}\mrightarrow{}  \mBbbP{}


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