Step
*
of Lemma
hdf-run_wf
∀[A,B:Type]. ∀[P:A ⟶ (hdataflow(A;B) × bag(B))]. (hdf-run(P) ∈ hdataflow(A;B))
BY
{ (ProveWfLemma
THEN (InstLemma `hdataflow-ext` [⌜A⌝;⌜B⌝]⋅ THENA Auto)
THEN SubsumeC ⌜A ⟶ (hdataflow(A;B) × bag(B))?⌝⋅
THEN Auto) }
Latex:
Latex:
\mforall{}[A,B:Type]. \mforall{}[P:A {}\mrightarrow{} (hdataflow(A;B) \mtimes{} bag(B))]. (hdf-run(P) \mmember{} hdataflow(A;B))
By
Latex:
(ProveWfLemma
THEN (InstLemma `hdataflow-ext` [\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{}]\mcdot{} THENA Auto)
THEN SubsumeC \mkleeneopen{}A {}\mrightarrow{} (hdataflow(A;B) \mtimes{} bag(B))?\mkleeneclose{}\mcdot{}
THEN Auto)
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