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Step * of Lemma lattice-extend-1

∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[L:BoundedDistributiveLattice]. ∀[eqL:EqDecider(Point(L))]. ∀[f:T ⟶ Point(L)].
  (lattice-extend(L;eq;eqL;f;1) = 1 ∈ Point(L))
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1
1. T : Type
2. eq : EqDecider(T)
3. L : BoundedDistributiveLattice
4. eqL : EqDecider(Point(L))
5. f : T ⟶ Point(L)
⊢ lattice-extend(L;eq;eqL;f;1) = 1 ∈ Point(L)

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[eq:EqDecider(T)].  \mforall{}[L:BoundedDistributiveLattice].  \mforall{}[eqL:EqDecider(Point(L))].
\mforall{}[f:T  {}\mrightarrow{}  Point(L)].
    (lattice-extend(L;eq;eqL;f;1)  =  1)


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