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reduced ax-10 usage
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GinoGiotto committed Aug 10, 2023
1 parent aefacec commit c1824c5
Showing 1 changed file with 4 additions and 2 deletions.
6 changes: 4 additions & 2 deletions set.mm
Original file line number Diff line number Diff line change
Expand Up @@ -19024,7 +19024,8 @@ Corresponds to the dual of Axiom (B) of modal logic. (Contributed by NM,
$( Version of ~ cbv3 with a disjoint variable condition, which does not
require ~ ax-13 . (Contributed by BJ, 31-May-2019.) $)
cbv3v $p |- ( A. x ph -> A. y ps ) $=
( wal nfal spimv1 alrimi ) ACHBDADCEIABCDFGJK $.
( wal nf5ri hbal weq wi ax6ev eximii 19.36i alrimih ) ACHBDADCADEIJABCFCD
KABLCCDMGNOP $.
$}

${
Expand Down Expand Up @@ -19614,7 +19615,8 @@ theorem as an axiom of set theory (Axiom 0 of [Kunen] p. 10). In the
does not use ~ ax-c9 . (Contributed by NM, 5-Aug-1993.) (Proof
shortened by Wolf Lammen, 12-May-2018.) $)
cbv3 $p |- ( A. x ph -> A. y ps ) $=
( wal nfal spim alrimi ) ACHBDADCEIABCDFGJK $.
( wal nf5ri hbal weq wi ax6e eximii 19.36i alrimih ) ACHBDADCADEIJABCFCDK
ABLCCDMGNOP $.
$}

${
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