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Step * 2 1 of Lemma fdl-1-join-irreducible


1. X : Type
2. x : Point(free-dl(X))
3. y : Point(free-dl(X))
4. ↑fdl-is-1(x)
⊢ ↑fdl-is-1(x ∨ y)
BY
{ (MoveToConcl (-1) THEN UseWitness ⌜λa.Ax⌝⋅) }

1
1. X : Type
2. x : Point(free-dl(X))
3. y : Point(free-dl(X))
⊢ λa.Ax ∈ (↑fdl-is-1(x)) ⇒ (↑fdl-is-1(x ∨ y))

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Latex:

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Latex:

1.  X  :  Type
2.  x  :  Point(free-dl(X))
3.  y  :  Point(free-dl(X))
4.  \muparrow{}fdl-is-1(x)
\mvdash{}  \muparrow{}fdl-is-1(x  \mvee{}  y)


By

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Latex:
(MoveToConcl  (-1)  THEN  UseWitness  \mkleeneopen{}\mlambda{}a.Ax\mkleeneclose{}\mcdot{})

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