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Step * of Lemma odd-l_sum

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∀[T:Type]. ∀[L:T List]. ∀[f:{x:T| (x ∈ L)}  ⟶ ℤ].  uiff(↑isOdd(l_sum(map(f;L)));↑isOdd(||filter(λx.isOdd(f x);L)||))
BY
{ Intros }

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1. [T] : Type
2. [L] : T List
3. [f] : {x:T| (x ∈ L)}  ⟶ ℤ
⊢ uiff(↑isOdd(l_sum(map(f;L)));↑isOdd(||filter(λx.isOdd(f x);L)||))

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Latex:

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Latex:
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\mforall{}[T:Type].  \mforall{}[L:T  List].  \mforall{}[f:\{x:T|  (x  \mmember{}  L)\}    {}\mrightarrow{}  \mBbbZ{}].
    uiff(\muparrow{}isOdd(l\_sum(map(f;L)));\muparrow{}isOdd(||filter(\mlambda{}x.isOdd(f  x);L)||))


By

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Latex:
Intros

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