Step
*
of Lemma
fset-ac-lub_wf
∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[ac1,ac2:{ac:fset(fset(T))| ↑fset-antichain(eq;ac)} ].
(fset-ac-lub(eq;ac1;ac2) ∈ {ac:fset(fset(T))| ↑fset-antichain(eq;ac)} )
BY
{ ProveWfLemma }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[eq:EqDecider(T)]. \mforall{}[ac1,ac2:\{ac:fset(fset(T))| \muparrow{}fset-antichain(eq;ac)\} ].
(fset-ac-lub(eq;ac1;ac2) \mmember{} \{ac:fset(fset(T))| \muparrow{}fset-antichain(eq;ac)\} )
By
Latex:
ProveWfLemma
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