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Step * 2 of Lemma free-dl-1-join-irreducible


1. T : Type@i'
2. eq : EqDecider(T)@i
3. x : Point(free-dist-lattice(T; eq))@i
4. y : Point(free-dist-lattice(T; eq))@i
5. (x = 1 ∈ Point(free-dist-lattice(T; eq))) ∨ (y = 1 ∈ Point(free-dist-lattice(T; eq)))
⊢ x ∨ y = 1 ∈ Point(free-dist-lattice(T; eq))
BY
{ (D -1 THEN RWO "-1" 0 THEN Auto) }

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Latex:

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Latex:

1.  T  :  Type@i'
2.  eq  :  EqDecider(T)@i
3.  x  :  Point(free-dist-lattice(T;  eq))@i
4.  y  :  Point(free-dist-lattice(T;  eq))@i
5.  (x  =  1)  \mvee{}  (y  =  1)
\mvdash{}  x  \mvee{}  y  =  1


By

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Latex:
(D  -1  THEN  RWO  "-1"  0  THEN  Auto)

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