Step
*
of Lemma
parallel-class-program-compose2-eq
∀[A,B,C:Type]. ∀[X1,X2:Id ─→ hdataflow(A;B ─→ bag(C))]. ∀[X:Id ─→ hdataflow(A;B)].
(X1 o X || X2 o X = X1 || X2 o X ∈ (Id ─→ hdataflow(A;C))) supposing (valueall-type(C) and valueall-type(B) and (↓B))
BY
{ (InstLemma `parallel-compose2-program-eq` [] THEN Trivial) }
Latex:
Latex:
\mforall{}[A,B,C:Type]. \mforall{}[X1,X2:Id {}\mrightarrow{} hdataflow(A;B {}\mrightarrow{} bag(C))]. \mforall{}[X:Id {}\mrightarrow{} hdataflow(A;B)].
(X1 o X || X2 o X = X1 || X2 o X) supposing (valueall-type(C) and valueall-type(B) and (\mdownarrow{}B))
By
Latex:
(InstLemma `parallel-compose2-program-eq` [] THEN Trivial)
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