Step
*
of Lemma
dm-neg_wf
No Annotations
∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[x:Point(free-DeMorgan-lattice(T;eq))]. (¬(x) ∈ Point(free-DeMorgan-lattice(T;eq)))
BY
{ (Auto
THEN Unfold `dm-neg` 0
THEN (Assert Point(free-DeMorgan-lattice(T;eq)) ~ Point(opposite-lattice(free-DeMorgan-lattice(T;eq))) BY
(RW (SubC (SymbCompC [`free-DeMorgan-lattice`] 30)) 0 THEN Auto))
THEN HypSubst' (-1) 0
THEN MemCD
THEN Try (QuickAuto)
THEN RevHypSubst (-1) 0
THEN Unfold `free-DeMorgan-lattice` 0
THEN RWO "free-dl-point" 0
THEN Auto) }
Latex:
Latex:
No Annotations
\mforall{}[T:Type]. \mforall{}[eq:EqDecider(T)]. \mforall{}[x:Point(free-DeMorgan-lattice(T;eq))].
(\mneg{}(x) \mmember{} Point(free-DeMorgan-lattice(T;eq)))
By
Latex:
(Auto
THEN Unfold `dm-neg` 0
THEN (Assert Point(free-DeMorgan-lattice(T;eq))
\msim{} Point(opposite-lattice(free-DeMorgan-lattice(T;eq))) BY
(RW (SubC (SymbCompC [`free-DeMorgan-lattice`] 30)) 0 THEN Auto))
THEN HypSubst' (-1) 0
THEN MemCD
THEN Try (QuickAuto)
THEN RevHypSubst (-1) 0
THEN Unfold `free-DeMorgan-lattice` 0
THEN RWO "free-dl-point" 0
THEN Auto)
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