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Step * of Lemma State-loc-comb-is-loop-class-state

∀[Info,A,B:Type]. ∀[init:Id ─→ bag(B)]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)].
  (State-loc-comb(init;f;X) = loop-class-state((f o X);init) ∈ EClass(B))
BY
{ ProveStateClassesEqual⋅ }

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Latex:

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Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    (State-loc-comb(init;f;X)  =  loop-class-state((f  o  X);init))


By

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Latex:
ProveStateClassesEqual\mcdot{}

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