From a55b8364488abfd40bd1c01856024646f42b3bb2 Mon Sep 17 00:00:00 2001 From: Wolf Lammen Date: Mon, 6 Jan 2025 09:32:44 +0100 Subject: [PATCH] rewrap --- set.mm | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/set.mm b/set.mm index eb5809c9a3..f6b4118204 100644 --- a/set.mm +++ b/set.mm @@ -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 @@ -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 $. @@ -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 $.