Step
*
1
of Lemma
permr_massoc_functionality
1. g : IAbMonoid@i'
2. as : |g| List@i
3. as' : |g| List@i
4. bs : |g| List@i
5. bs' : |g| List@i
6. as ≡ bs upto ~@i
7. as' ≡ bs' upto ~@i
⊢ as ≡ as' upto ~
⇐⇒ bs ≡ bs' upto ~
BY
{ TryOnAll (Unfold `permr_massoc`) }
1
1. g : IAbMonoid@i'
2. as : |g| List@i
3. as' : |g| List@i
4. bs : |g| List@i
5. bs' : |g| List@i
6. as ≡ bs upto x,y.x ~ y @i
7. as' ≡ bs' upto x,y.x ~ y @i
⊢ as ≡ as' upto x,y.x ~ y
⇐⇒ bs ≡ bs' upto x,y.x ~ y
Latex:
Latex:
1. g : IAbMonoid@i'
2. as : |g| List@i
3. as' : |g| List@i
4. bs : |g| List@i
5. bs' : |g| List@i
6. as \mequiv{} bs upto \msim{}@i
7. as' \mequiv{} bs' upto \msim{}@i
\mvdash{} as \mequiv{} as' upto \msim{} \mLeftarrow{}{}\mRightarrow{} bs \mequiv{} bs' upto \msim{}
By
Latex:
TryOnAll (Unfold `permr\_massoc`)
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