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Step * of Lemma sub-bags-no-repeats

∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[bs:bag(T)].  bag-no-repeats(bag(T);sub-bags(eq;bs)) supposing valueall-type(T)
BY
{ (Auto THEN Unfold `sub-bags` 0) }

1
1. T : Type
2. eq : EqDecider(T)
3. bs : bag(T)
4. valueall-type(T)
⊢ bag-no-repeats(bag(T);bag-map(λp.(fst(p));bag-partitions(eq;bs)))

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[eq:EqDecider(T)].  \mforall{}[bs:bag(T)].
    bag-no-repeats(bag(T);sub-bags(eq;bs))  supposing  valueall-type(T)


By

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Latex:
(Auto  THEN  Unfold  `sub-bags`  0)

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