Step
*
of Lemma
flow-state-compression_wf
∀[T:Type]. ∀[S:Id List]. ∀[F:information-flow(T;S)]. ∀[A:Type]. ∀[start:{i:Id| (i ∈ S)} ─→ A]. ∀[c:A ─→ T ─→ A].
∀[H:{i:Id| (i ∈ S)} ─→ {i:Id| (i ∈ S)} ─→ A ─→ (T + Top)].
(flow-state-compression(S;T;F;H;start;c) ∈ ℙ)
BY
{ ((Unfold `flow-state-compression` 0 THEN Auto) THEN Fold `information-flow` 0 THEN Auto) }
Latex:
\mforall{}[T:Type]. \mforall{}[S:Id List]. \mforall{}[F:information-flow(T;S)]. \mforall{}[A:Type]. \mforall{}[start:\{i:Id| (i \mmember{} S)\} {}\mrightarrow{} A].
\mforall{}[c:A {}\mrightarrow{} T {}\mrightarrow{} A]. \mforall{}[H:\{i:Id| (i \mmember{} S)\} {}\mrightarrow{} \{i:Id| (i \mmember{} S)\} {}\mrightarrow{} A {}\mrightarrow{} (T + Top)].
(flow-state-compression(S;T;F;H;start;c) \mmember{} \mBbbP{})
By
((Unfold `flow-state-compression` 0 THEN Auto) THEN Fold `information-flow` 0 THEN Auto)
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