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Question Number 185973 by normans last updated on 30/Jan/23
             [prove that;]                1 + 2 = 3
[provethat;]1+2=3
Commented by MJS_new last updated on 30/Jan/23
if “1”=1∈N∧“2”=2∈N∧“3”=3∈N∧(“+”  is the common addition)∧(“=” is the common  equality sign):  lhs 1+2=3  rhs 3  lhs=rhs
if1=1N2=2N3=3N(+isthecommonaddition)(=isthecommonequalitysign):lhs1+2=3rhs3lhs=rhs
Commented by MJS_new last updated on 30/Jan/23
questions like this one only make sense when  we specify what tools are allowed for the  proof.  i.e. “prove that −5÷4 is not defined” only  makes sense when we are limited to Z
questionslikethisoneonlymakesensewhenwespecifywhattoolsareallowedfortheproof.i.e.provethat5÷4isnotdefinedonlymakessensewhenwearelimitedtoZ
Answered by Mathspace last updated on 30/Jan/23
but in Z/3Z     1+2=0   first you must choose the set!
butinZ/3Z1+2=0firstyoumustchoosetheset!
Commented by MJS_new last updated on 30/Jan/23
yes.
yes.

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