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Step * 1 1 1 of Lemma free-dl-1-join-irreducible

.....assertion..... 
1. T : Type
2. eq : EqDecider(T)
3. x : Point(free-dist-lattice(T; eq))
4. y : Point(free-dist-lattice(T; eq))
5. {} ∈ x ∨ y
⊢ {} ∈ x ∨ {} ∈ y
BY
{ ((RWO "free-dl-join" (-1) THENA Auto) THEN (All (RWO "free-dl-point") THENA Auto)) }

1
1. T : Type
2. eq : EqDecider(T)
3. x : {ac:fset(fset(T))| ↑fset-antichain(eq;ac)} 
4. y : {ac:fset(fset(T))| ↑fset-antichain(eq;ac)} 
5. {} ∈ fset-ac-lub(eq;x;y)
⊢ {} ∈ x ∨ {} ∈ y

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Latex:

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Latex:
.....assertion..... 
1.  T  :  Type
2.  eq  :  EqDecider(T)
3.  x  :  Point(free-dist-lattice(T;  eq))
4.  y  :  Point(free-dist-lattice(T;  eq))
5.  \{\}  \mmember{}  x  \mvee{}  y
\mvdash{}  \{\}  \mmember{}  x  \mvee{}  \{\}  \mmember{}  y


By

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Latex:
((RWO  "free-dl-join"  (-1)  THENA  Auto)  THEN  (All  (RWO  "free-dl-point")  THENA  Auto))

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