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rewrap
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wlammen committed Jan 6, 2025
1 parent 472edfd commit a55b836
Showing 1 changed file with 6 additions and 6 deletions.
12 changes: 6 additions & 6 deletions set.mm
Original file line number Diff line number Diff line change
Expand Up @@ -30373,8 +30373,8 @@ atomic formula (class version of ~ elsb1 ). Usage of this theorem is
cbvrexfw.5 $e |- ( x = y -> ( ph <-> ps ) ) $.
$( Rule used to change bound variables, using implicit substitution.
Version of ~ cbvrexf with a disjoint variable condition, which does not
require ~ ax-13 . For a version not dependent on ~ ax-11 and ax-12,
see ~ cbvrexvw . (Contributed by FL, 27-Apr-2008.) Avoid ~ ax-10 ,
require ~ ax-13 . For a version not dependent on ~ ax-11 and ax-12, see
~ cbvrexvw . (Contributed by FL, 27-Apr-2008.) Avoid ~ ax-10 ,
~ ax-13 . (Revised by Gino Giotto, 10-Jan-2024.) $)
cbvrexfw $p |- ( E. x e. A ph <-> E. y e. A ps ) $=
( wrex wn wral nfn weq notbid cbvralfw ralnex 3bitr3i con4bii ) ACEKZBDEK
Expand Down Expand Up @@ -30511,8 +30511,8 @@ atomic formula (class version of ~ elsb1 ). Usage of this theorem is
$d z x A $. $d y A $. $d z y ph $. $d x y $.
$( Change bound variable by using a substitution. Version of ~ cbvralsv
with a disjoint variable condition, which does not require ~ ax-13 .
(Contributed by NM, 20-Nov-2005.) Avoid ~ ax-13 . (Revised by Gino Giotto,
10-Jan-2024.) $)
(Contributed by NM, 20-Nov-2005.) Avoid ~ ax-13 . (Revised by Gino
Giotto, 10-Jan-2024.) $)
cbvralsvw $p |- ( A. x e. A ph <-> A. y e. A [ y / x ] ph ) $=
( vz wral wsb nfv nfs1v sbequ12 cbvralw sbequ bitri ) ABDFABEGZEDFABCGZCD
FANBEDAEHABEIABEJKNOECDNCHOEHAECBLKM $.
Expand All @@ -30523,8 +30523,8 @@ atomic formula (class version of ~ elsb1 ). Usage of this theorem is
$d z x A $. $d y z ph $. $d y A $. $d x y $.
$( Change bound variable by using a substitution. Version of ~ cbvrexsv
with a disjoint variable condition, which does not require ~ ax-13 .
(Contributed by NM, 2-Mar-2008.) Avoid ~ ax-13 . (Revised by Gino Giotto,
10-Jan-2024.) $)
(Contributed by NM, 2-Mar-2008.) Avoid ~ ax-13 . (Revised by Gino
Giotto, 10-Jan-2024.) $)
cbvrexsvw $p |- ( E. x e. A ph <-> E. y e. A [ y / x ] ph ) $=
( vz wrex wsb nfv nfs1v sbequ12 cbvrexw sbequ bitri ) ABDFABEGZEDFABCGZCD
FANBEDAEHABEIABEJKNOECDNCHOEHAECBLKM $.
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