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Add iscrngd to iset.mm
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Stated as in set.mm.  The proof needs a little bit of intuitionizing but
is basically the set.mm proof.
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jkingdon committed Jan 6, 2025
1 parent dd3f818 commit e677cc2
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11 changes: 11 additions & 0 deletions iset.mm
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Expand Up @@ -149026,6 +149026,17 @@ the additive structure must be abelian (see ~ ringcom ), care must be
WDXKWEFVTAFVTUJXGKVEZAXGBCHWBLVGAXGBDHWBLVGZVHVIXHVQVRFUHZVSHUHXKVRVSHUHZ
FUHWIWKQXHXOWHVSVSHWBXLAXGBCFVTKVGXHVSVFVHXHXKWEXPWJFVTXMXNAXGCDHWBLVGVHV
IVJVKVLBCDWNVTGWBVPWQWPVTUPWSVMVN $.

iscrngd.c $e |- ( ( ph /\ x e. B /\ y e. B ) ->
( x .x. y ) = ( y .x. x ) ) $.
$( Properties that determine a commutative ring. (Contributed by Mario
Carneiro, 7-Jan-2015.) $)
iscrngd $p |- ( ph -> R e. CRing ) $=
( crg wcel cmgp cfv ccmn ccrg isringd cbs wceq mgpbasg eqtrd cmulr cplusg
eqid syl mgpplusgg ismndd iscmnd iscrng sylanbrc ) AGUBUCZGUDUEZUFUCGUGUC
ABCDEFGHIJKLMNOPQRSTUHZABCEHVCAEGUIUEZVCUIUEZJAVBVEVFUJVDVEGVCUBVCUOZVEUO
UKUPULZAHGUMUEZVCUNUEZLAVBVIVJUJVDGVIVCUBVGVIUOUQUPULZABCDEHVCIVHVKNORSTU
RUAUSGVCVGUTVA $.
$}


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