Step
*
1
of Lemma
fl-lift_wf
.....equality.....
1. T : Type
2. eq : EqDecider(T)
3. L : BoundedDistributiveLattice
4. eqL : EqDecider(Point(L))
5. f0 : T ⟶ Point(L)
6. f1 : T ⟶ Point(L)
7. ∀x:T. (f0 x ∧ f1 x = 0 ∈ Point(L))
⊢ TERMOF{face-lattice-property:o, 1:l, 1:l} ~ TERMOF{face-lattice-property:o, 1:l, i:l}
BY
{ RepeatFor 2 ((RW (SubC (TagC (mk_tag_term 1000))) 0 THEN RepeatFor 9 ((EqCD THEN Try (Trivial))))) }
Latex:
Latex:
.....equality.....
1. T : Type
2. eq : EqDecider(T)
3. L : BoundedDistributiveLattice
4. eqL : EqDecider(Point(L))
5. f0 : T {}\mrightarrow{} Point(L)
6. f1 : T {}\mrightarrow{} Point(L)
7. \mforall{}x:T. (f0 x \mwedge{} f1 x = 0)
\mvdash{} TERMOF\{face-lattice-property:o, 1:l, 1:l\} \msim{} TERMOF\{face-lattice-property:o, 1:l, i:l\}
By
Latex:
RepeatFor 2 ((RW (SubC (TagC (mk\_tag\_term 1000))) 0 THEN RepeatFor 9 ((EqCD THEN Try (Trivial)))))
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