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move eqneltri to other eqnel* theorems (#4662)
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wlammen authored Feb 19, 2025
1 parent b1eba87 commit ebb4712
Showing 1 changed file with 9 additions and 9 deletions.
18 changes: 9 additions & 9 deletions set.mm
Original file line number Diff line number Diff line change
Expand Up @@ -26225,15 +26225,6 @@ the definition of class equality ( ~ df-cleq ). Its forward implication
$}
$}

${
eqneltri.1 $e |- A = B $.
eqneltri.2 $e |- -. B e. C $.
$( If a class is not an element of another class, an equal class is also
not an element. (Contributed by Glauco Siliprandi, 3-Jan-2021.) $)
eqneltri $p |- -. A e. C $=
( wcel eleq1i mtbir ) ACFBCFEABCDGH $.
$}

${
eleq12d.1 $e |- ( ph -> A = B ) $.
eleq12d.2 $e |- ( ph -> C = D ) $.
Expand Down Expand Up @@ -26463,6 +26454,15 @@ the definition of class equality ( ~ df-cleq ). Its forward implication
( wcel eleq2i sylbi ) BDGBCGADCBFHEI $.
$}

${
eqneltri.1 $e |- A = B $.
eqneltri.2 $e |- -. B e. C $.
$( If a class is not an element of another class, an equal class is also
not an element. (Contributed by Glauco Siliprandi, 3-Jan-2021.) $)
eqneltri $p |- -. A e. C $=
( wcel eleq1i mtbir ) ACFBCFEABCDGH $.
$}

${
eqneltrd.1 $e |- ( ph -> A = B ) $.
eqneltrd.2 $e |- ( ph -> -. B e. C ) $.
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