Step
*
1
of Lemma
unique_mfact
1. g : IAbMonoid
2. Cancel(|g|;|g|;*)
3. ∀a,b:|g|. Dec(a | b)
4. qs : Prime(g) List
5. e ~ (Π
qs)
⊢ [] ≡ qs upto ~
BY
{ TACTIC:D 5 THEN Thin 5 THEN FoldTop `munit` 5 }
1
1. g : IAbMonoid
2. Cancel(|g|;|g|;*)
3. ∀a,b:|g|. Dec(a | b)
4. qs : Prime(g) List
5. g-unit(Π
qs)
⊢ [] ≡ qs upto ~
Latex:
Latex:
1. g : IAbMonoid
2. Cancel(|g|;|g|;*)
3. \mforall{}a,b:|g|. Dec(a | b)
4. qs : Prime(g) List
5. e \msim{} (\mPi{}
qs)
\mvdash{} [] \mequiv{} qs upto \msim{}
By
Latex:
TACTIC:D 5 THEN Thin 5 THEN FoldTop `munit` 5
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