Step * 2 of Lemma no-repeats-bag-partitions


1. Type
2. eq EqDecider(T)
3. bs bag(T)
4. valueall-type(T)
⊢ bag-no-repeats(bag(T) × bag(T);bag-to-set(proddeq(bag-deq(eq);bag-deq(eq));bag-splits(bs)))
BY
(BLemma `no-repeats-bag-to-set` THEN Auto) }

1
.....wf..... 
1. Type
2. eq EqDecider(T)
3. bs bag(T)
4. valueall-type(T)
⊢ proddeq(bag-deq(eq);bag-deq(eq)) ∈ EqDecider(bag(T) × bag(T))


Latex:


Latex:

1.  T  :  Type
2.  eq  :  EqDecider(T)
3.  bs  :  bag(T)
4.  valueall-type(T)
\mvdash{}  bag-no-repeats(bag(T)  \mtimes{}  bag(T);bag-to-set(proddeq(bag-deq(eq);bag-deq(eq));bag-splits(bs)))


By


Latex:
(BLemma  `no-repeats-bag-to-set`  THEN  Auto)




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