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Step * of Lemma dm-neg-is-hom-opposite

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∀[T:Type]. ∀[eq:EqDecider(T)].
  (λx.¬(x) ∈ Hom(opposite-lattice(free-DeMorgan-lattice(T;eq));free-DeMorgan-lattice(T;eq)))
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1
1. T : Type
2. eq : EqDecider(T)
⊢ λx.¬(x) ∈ Hom(opposite-lattice(free-DeMorgan-lattice(T;eq));free-DeMorgan-lattice(T;eq))

2
.....set predicate..... 
1. T : Type
2. eq : EqDecider(T)
⊢ (((λx.¬(x)) 0) = 0 ∈ Point(free-DeMorgan-lattice(T;eq))) ∧ (((λx.¬(x)) 1) = 1 ∈ Point(free-DeMorgan-lattice(T;eq)))

3
.....wf..... 
1. T : Type
2. eq : EqDecider(T)
3. f : Hom(opposite-lattice(free-DeMorgan-lattice(T;eq));free-DeMorgan-lattice(T;eq))
⊢ ((f 0) = 0 ∈ Point(free-DeMorgan-lattice(T;eq))) ∧ ((f 1) = 1 ∈ Point(free-DeMorgan-lattice(T;eq))) ∈ Type

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Latex:

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Latex:
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\mforall{}[T:Type].  \mforall{}[eq:EqDecider(T)].
    (\mlambda{}x.\mneg{}(x)  \mmember{}  Hom(opposite-lattice(free-DeMorgan-lattice(T;eq));free-DeMorgan-lattice(T;eq)))


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Latex:
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