Step * of Lemma lattice-fset-join_functionality_wrt_subset

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[l:BoundedLattice]. ∀[eq:EqDecider(Point(l))]. ∀[s1,s2:fset(Point(l))].  \/(s1) ≤ \/(s2) supposing s1 ⊆ s2
BY
TACTIC:(Auto THEN (InstLemma `lattice-fset-join-is-lub` [⌜l⌝;⌜eq⌝]⋅ THENA Auto) THEN -1 THEN BHyp -1 THEN Auto) }


Latex:


Latex:
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\mforall{}[l:BoundedLattice].  \mforall{}[eq:EqDecider(Point(l))].  \mforall{}[s1,s2:fset(Point(l))].
    \mbackslash{}/(s1)  \mleq{}  \mbackslash{}/(s2)  supposing  s1  \msubseteq{}  s2


By


Latex:
TACTIC:(Auto
                THEN  (InstLemma  `lattice-fset-join-is-lub`  [\mkleeneopen{}l\mkleeneclose{};\mkleeneopen{}eq\mkleeneclose{}]\mcdot{}  THENA  Auto)
                THEN  D  -1
                THEN  BHyp  -1
                THEN  Auto)




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