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Step * of Lemma hdf-buffer_wf

∀[A,B:Type]. ∀[X:hdataflow(A;B ─→ bag(B))]. ∀[bs:bag(B)].  hdf-buffer(X;bs) ∈ hdataflow(A;B) supposing valueall-type(B)
BY
{ (Auto THEN Unfold `hdf-buffer` 0 THEN Using [`S',⌈hdataflow(A;B ─→ bag(B)) × bag(B)⌉] MemCD⋅ THEN Auto) }

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Latex:


\mforall{}[A,B:Type].  \mforall{}[X:hdataflow(A;B  {}\mrightarrow{}  bag(B))].  \mforall{}[bs:bag(B)].
    hdf-buffer(X;bs)  \mmember{}  hdataflow(A;B)  supposing  valueall-type(B)


By

(Auto
  THEN  Unfold  `hdf-buffer`  0
  THEN  Using  [`S',\mkleeneopen{}hdataflow(A;B  {}\mrightarrow{}  bag(B))  \mtimes{}  bag(B)\mkleeneclose{}]  MemCD\mcdot{}
  THEN  Auto)

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