From b98720ec0c244b18e6c12fd19e2859df6aa4311c Mon Sep 17 00:00:00 2001 From: GinoGiotto <73717712+GinoGiotto@users.noreply.github.com> Date: Sun, 21 May 2023 23:17:48 +0200 Subject: [PATCH 1/3] edited proof of tz7.48lem --- set.mm | 44 ++++++++++++++++++++++---------------------- 1 file changed, 22 insertions(+), 22 deletions(-) diff --git a/set.mm b/set.mm index 25cef3ed7b..88a802e404 100644 --- a/set.mm +++ b/set.mm @@ -75873,28 +75873,28 @@ currently used conventions for such cases (see ~ cbvmpt2x , ~ ovmpt2x and tz7.48lem $p |- ( ( A C_ On /\ A. x e. A A. y e. x -. ( F ` x ) = ( F ` y ) ) -> Fun `' ( F |` A ) ) $= ( vw vz con0 cv cfv wceq wn wral wa weq wi wel wcel wal r2al cres simpl - ccnv wfun anim1i imim1i 2alimi sylbi sylibr elequ1 fveq2 eqeq2d imbi12d - notbid cbvralv ralbii elequ2 fveqeq2 ralbidv bitri 3bitri ralcom2 ancri - wss expd r19.26-2 syl wb fvres eqeqan12d ad2antrl ssel anim12d wo oridm - pm3.48 eqcom notbii orbi1i bitr3i syl6ibr con2d word eloni syl2an syl9r - ordtri3 biimprd syl6 imp32 exp32 a2d 2alimdv 3imtr4g syl5 imdistani wfn - sylbid fnssres mpan cvv wf dffn2 wf1 dff13 df-f1 simprbi sylanb sylan ) - CHVDZAIZDJZBIZDJZKZLZBXKMACMZNXJXKDCUAZJZXMXRJZKZABOZPZBCMACMZNXRUCUDZX - JXQYDXQABQZXNXLKZLZPZBAQZXPPZNZBCMACMZXJYDXQYKBCMZACMZYMXQXKCRZXMCRZNZY - KPZBSASZYOXQYPYJNZXPPZBSASYTXPABCXKTUUBYSABUUBYRYJXPYRYJNUUAXPYRYPYJYPY - QUBUEUFVEUGUHYKABCCTUIYOYIBCMACMZYONYMYOUUCYOYIACMZBCMZUUCYOFAQZXLFIZDJ - ZKZLZPZFCMZACMFGQZGIZDJZUUHKZLZPZFCMZGCMZUUEYNUULACYKUUKBFCBFOZYJUUFXPU - UJBFAUJUVAXOUUIUVAXNUUHXLXMUUGDUKULUNUMUOUPUULUUSAGCAGOZUUKUURFCUVBUUFU - UMUUJUUQAGFUQUVBUUIUUPXKUUNUUHDURUNUMUSUOUUTAGQZUUOXLKZLZPZACMZGCMUUEUU - SUVGGCUURUVFFACFAOZUUMUVCUUQUVEFAGUJUVHUUPUVDUVHUUHXLUUOUUGXKDUKULUNUMU - OUPUVGUUDGBCGBOZUVFYIACUVIUVCYFUVEYHGBAUQUVIUVDYGUUNXMXLDURUNUMUSUOUTVA - YIBACVBUHVCYIYKABCCVFUIVGXJYRYLPZBSASYRYCPZBSASYMYDXJUVJUVKABXJYRYLYCXJ - YRYLYCXJYRYLNNYAXOYBYRYAXOVHXJYLYPYQXSXLXTXNXKCDVIXMCDVIVJVKXJYRYLXOYBP - ZXJYRXKHRZXMHRZNZYLUVLPXJYPUVMYQUVNCHXKVLCHXMVLVMYLXOYFYJVNZLZUVOYBYLUV - PXOYLUVPYHXPVNZXPYFYHYJXPVPXPXPXPVNUVRXPVOXPYHXPXOYGXLXNVQVRVSVTWAWBUVM - XKWCZXMWCZUVQYBPUVNXKWDXMWDUVSUVTNYBUVQXKXMWGWHWEWFWIWJWRWKWLWMYLABCCTY - CABCCTWNWOWPXJXRCWQZYDYEDHWQXJUWAEHCDWSWTUWACXAXRXBZYDYECXRXCUWBYDNZUWB - YEUWCCXAXRXDUWBYENABCXAXRXECXAXRXFVTXGXHXIVG $. + ccnv wfun anim1i imim1i expd 2alimi 3imtr4i eleq1w fveq2 eqeq2d imbi12d + notbid cbvralv ralbii elequ2 fveqeq2 ralbidv bitri 3bitri ralcom2 sylbi + wss ancri r19.26-2 sylibr syl wb eqeqan12d ad2antrl ssel anim12d pm3.48 + fvres oridm eqcom notbii orbi1i bitr3i syl6ibr con2d word eloni ordtri3 + wo biimprd syl2an syl9r syl6 imp32 sylbid a2d 2alimdv 3imtr4g imdistani + exp32 syl5 wfn fnssres mpan cvv wf dffn2 wf1 dff13 df-f1 simprbi sylanb + sylan ) CHVDZAIZDJZBIZDJZKZLZBXLMACMZNXKXLDCUAZJZXNXSJZKZABOZPZBCMACMZN + XSUCUDZXKXRYEXRABQZXOXMKZLZPZBAQZXQPZNZBCMACMZXKYEXRYLBCMZACMZYNXLCRZYK + NZXQPZBSASYQXNCRZNZYLPZBSASXRYPYSUUBABYSUUAYKXQUUAYKNYRXQUUAYQYKYQYTUBU + EUFUGUHXQABCXLTYLABCCTUIYPYJBCMACMZYPNYNYPUUCYPYJACMZBCMZUUCYPFAQZXMFIZ + DJZKZLZPZFCMZACMFGQZGIZDJZUUHKZLZPZFCMZGCMZUUEYOUULACYLUUKBFCBFOZYKUUFX + QUUJBFXLUJUVAXPUUIUVAXOUUHXMXNUUGDUKULUNUMUOUPUULUUSAGCAGOZUUKUURFCUVBU + UFUUMUUJUUQAGFUQUVBUUIUUPXLUUNUUHDURUNUMUSUOUUTAGQZUUOXMKZLZPZACMZGCMUU + EUUSUVGGCUURUVFFACFAOZUUMUVCUUQUVEFAUUNUJUVHUUPUVDUVHUUHXMUUOUUGXLDUKUL + UNUMUOUPUVGUUDGBCGBOZUVFYJACUVIUVCYGUVEYIGBAUQUVIUVDYHUUNXNXMDURUNUMUSU + OUTVAYJBACVBVCVEYJYLABCCVFVGVHXKUUAYMPZBSASUUAYDPZBSASYNYEXKUVJUVKABXKU + UAYMYDXKUUAYMYDXKUUAYMNNYBXPYCUUAYBXPVIXKYMYQYTXTXMYAXOXLCDVOXNCDVOVJVK + XKUUAYMXPYCPZXKUUAXLHRZXNHRZNZYMUVLPXKYQUVMYTUVNCHXLVLCHXNVLVMYMXPYGYKW + FZLZUVOYCYMUVPXPYMUVPYIXQWFZXQYGYIYKXQVNXQXQXQWFUVRXQVPXQYIXQXPYHXMXOVQ + VRVSVTWAWBUVMXLWCZXNWCZUVQYCPUVNXLWDXNWDUVSUVTNYCUVQXLXNWEWGWHWIWJWKWLW + QWMWNYMABCCTYDABCCTWOWRWPXKXSCWSZYEYFDHWSXKUWAEHCDWTXAUWACXBXSXCZYEYFCX + SXDUWBYENZUWBYFUWCCXBXSXEUWBYFNABCXBXSXFCXBXSXGVTXHXIXJVH $. $} $( Proposition 7.48(2) of [TakeutiZaring] p. 51. (Contributed by NM, From afa0c00fd9187b3097d695b2299a32d115cf8a55 Mon Sep 17 00:00:00 2001 From: GinoGiotto <73717712+GinoGiotto@users.noreply.github.com> Date: Mon, 22 May 2023 00:08:29 +0200 Subject: [PATCH 2/3] added credit --- set.mm | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/set.mm b/set.mm index 88a802e404..9ad4aa6528 100644 --- a/set.mm +++ b/set.mm @@ -75869,7 +75869,8 @@ currently used conventions for such cases (see ~ cbvmpt2x , ~ ovmpt2x and ${ $d x A $. $( A way of showing an ordinal function is one-to-one. (Contributed by - NM, 9-Feb-1997.) $) + NM, 9-Feb-1997.) Avoid ~ ax-8 . (Revised by Gino Giotto, + 22-May-2023.) $) tz7.48lem $p |- ( ( A C_ On /\ A. x e. A A. y e. x -. ( F ` x ) = ( F ` y ) ) -> Fun `' ( F |` A ) ) $= ( vw vz con0 cv cfv wceq wn wral wa weq wi wel wcel wal r2al cres simpl From 494f7ac0d0a4d76738158260e9a07b74f698382e Mon Sep 17 00:00:00 2001 From: GinoGiotto <73717712+GinoGiotto@users.noreply.github.com> Date: Sat, 12 Aug 2023 08:26:13 +0200 Subject: [PATCH 3/3] removed 'revised by' comment --- set.mm | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/set.mm b/set.mm index 9ad4aa6528..88a802e404 100644 --- a/set.mm +++ b/set.mm @@ -75869,8 +75869,7 @@ currently used conventions for such cases (see ~ cbvmpt2x , ~ ovmpt2x and ${ $d x A $. $( A way of showing an ordinal function is one-to-one. (Contributed by - NM, 9-Feb-1997.) Avoid ~ ax-8 . (Revised by Gino Giotto, - 22-May-2023.) $) + NM, 9-Feb-1997.) $) tz7.48lem $p |- ( ( A C_ On /\ A. x e. A A. y e. x -. ( F ` x ) = ( F ` y ) ) -> Fun `' ( F |` A ) ) $= ( vw vz con0 cv cfv wceq wn wral wa weq wi wel wcel wal r2al cres simpl