---

Step * 1 1 of Lemma lattice-fset-join_functionality_wrt_subset2


1. l : BoundedLattice
2. eq : EqDecider(Point(l))
3. s1 : fset(Point(l))
4. s2 : fset(Point(l))
5. s1 ⊆ {0} ⋃ s2
⊢ \/({0}) ∨ \/(s2) = \/(s2) ∈ Point(l)
BY
{ (RWO "lattice-fset-join-singleton" 0 THEN Auto) }

---

Latex:

---

Latex:

1.  l  :  BoundedLattice
2.  eq  :  EqDecider(Point(l))
3.  s1  :  fset(Point(l))
4.  s2  :  fset(Point(l))
5.  s1  \msubseteq{}  \{0\}  \mcup{}  s2
\mvdash{}  \mbackslash{}/(\{0\})  \mvee{}  \mbackslash{}/(s2)  =  \mbackslash{}/(s2)


By

---

Latex:
(RWO  "lattice-fset-join-singleton"  0  THEN  Auto)

---

Home Index