Step
*
1
of Lemma
bfs-rm0-equiv
1. K : RngSig
2. S : Type
3. eq : EqDecider(|K|)
4. EquivRel(bag(|K| × S);a,b.bfs-equiv(K;S;a;b))
⊢ ↓bfs-equiv(K;S;bfs-rm0(K;eq;[]);[])
BY
{ (((Subst' bfs-rm0(K;eq;[]) ~ [] 0 THENA Computation) THEN (Subst' [] ~ {} 0 THENA Computation)) THEN Auto) }
Latex:
Latex:
1. K : RngSig
2. S : Type
3. eq : EqDecider(|K|)
4. EquivRel(bag(|K| \mtimes{} S);a,b.bfs-equiv(K;S;a;b))
\mvdash{} \mdownarrow{}bfs-equiv(K;S;bfs-rm0(K;eq;[]);[])
By
Latex:
(((Subst' bfs-rm0(K;eq;[]) \msim{} [] 0 THENA Computation) THEN (Subst' [] \msim{} \{\} 0 THENA Computation))
THEN Auto
)
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