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copy submmulgcl from set.mm to iset.mm
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jkingdon committed Dec 27, 2024
1 parent 4882039 commit 795b6b7
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Original file line number Diff line number Diff line change
Expand Up @@ -147199,6 +147199,18 @@ since the target of the homomorphism (operator ` O ` in our model) need
VPVQVRVSVT $.
$}

${
$d x y G $. $d x y N $. $d x y S $. $d x .xb $. $d x y X $.
submmulgcl.t $e |- .xb = ( .g ` G ) $.
$( Closure of the group multiple (exponentiation) operation in a submonoid.
(Contributed by Mario Carneiro, 13-Jan-2015.) $)
submmulgcl $p |- ( ( S e. ( SubMnd ` G ) /\ N e. NN0 /\ X e. S ) ->
( N .xb X ) e. S ) $=
( vx vy csubmnd cfv wcel cbs cplusg cmnd c0g eqid submrcl submss submcl
cv subm0cl mulgnn0subcl ) ACIJKGHCLJZCMJZABCDNECOJZUCPZFUDPZACQUCACUFRUDA
CGTHTUGSUEPZACUEUHUAUB $.
$}


$(
#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#*#
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