Skip to content

Add new theorems rnopabss and rnopab3 to set.mm #5016

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
wants to merge 1 commit into
base: develop
Choose a base branch
from
Open

Add new theorems rnopabss and rnopab3 to set.mm #5016

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
21 changes: 21 additions & 0 deletions set.mm
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -57557,6 +57557,27 @@ of the relation (see ~ op1stb ). (Contributed by NM, 28-Jul-2004.) $)
UDUBUCQUAMAUBUCUANABCOPRST $.
$}

${
$d x y A $.
$( Upper bound for the range of a restricted class of ordered pairs.
(Contributed by Eric Schmidt, 16-Sep-2025.) $)
rnopabss $p |- ran { <. x , y >. | ( y e. A /\ ph ) } C_ A $=
( cv wcel wa copab crn wex cab rnopab 19.42v abbii ssab2 eqsstri ) CEDFZA
GZBCHIRBJZCKZDRBCLTQABJZGZCKDSUBCQABMNUACDOPP $.
$}

${
$d x y A $.
$( The range of a restricted class of ordered pairs. (Contributed by Eric
Schmidt, 16-Sep-2025.) $)
rnopab3 $p |- ( A. y e. A E. x ph <->
ran { <. x , y >. | ( y e. A /\ ph ) } = A ) $=
( wex wral cv wcel wi wal wa wb copab crn wceq df-ral pm4.71 albii rnopab
cab 19.42v abbii eqtri eqeq1i eqcom eqabb 3bitr2ri 3bitri ) ABEZCDFCGDHZU
IIZCJUJUJUIKZLZCJZUJAKZBCMNZDOZUICDPUKUMCUJUIQRUQULCTZDODUROUNUPURDUPUOBE
ZCTURUOBCSUSULCUJABUAUBUCUDDURUEULCDUFUGUH $.
$}

${
$d y z A $. $d y z B $. $d x y z C $.
rnmpt.1 $e |- F = ( x e. A |-> B ) $.
Expand Down