Article View: fj.ai
Article #749Re: equality
From: Shingo MATSUMOTO
Date: Wed, 24 Feb 1993 04:18
Date: Wed, 24 Feb 1993 04:18
38 lines
3315 bytes
3315 bytes
$B>>K\!w?t3X2J$/$:$l$G$9!#(B
In article <SATOSHI.93Feb22191139@whale.math.ryukoku.ac.jp> satoshi@whale.math.ryukoku.ac.jp (Satoshi Kobayashi) writes:
|$B$H$3$m$G!">e$NOC$GLLGr$$$H;W$&$N$O!"(BLeibniz equality $B$H(B extensional
|equality $B$rHf$Y$?;~!"A0<T$N$[$&$,$:$C$HD61[E*$JDj5A$K$J$C$F$$$k(B($BA0<T$O(B
|impredicative $B$JM}O@$G9M$($k$b$N$@$,!"8e<T$O(B predicative $B$JDj5A$G!"$=(B
|$B$b$=$b(B1$B3,$NM}O@$G$bDj5A$G$-$k(B)$B$K$b4X$o$i$:!"(Bequality $B$NH=Dj$OA0<T$N$[(B
|$B$&$,4JC1$G$"$k$3$H$G$9!#(B...
$B$I$&$b!"Aa$H$A$j$G!"(Ball$B$,B+G{(B$B$7$F$$$kJQ?t$N0c$$$rL5;k$7$F$*$j$^$7$?!#(B
$B$7$+$7!"(BP$B$rB+G{$9$k(BLeibniz equality$B$NJ}$,H=Dj$7$d$9$$$H$O0U(B$B30$G$7$?!#(B
| ... $B$I$&$b(B fj.ai $B$G$N5DO@$r8+$F$$$k$H!"(BLeibniz
|equality $B$r!VDj5A(B$B$K=>$C$F!WH=Dj(B($B$"$k$$$OG'<1(B)$B$9$k(B($B$D$^$j!"A4$F$N(B P $B$K(B
|$B$D$$$F(B P(x) <-> P(y) $B$+$I$&$+$r8+$k(B)$B$N$OET9g$,(B$B0-$$!"$_$?$$$JOC$K$J$C$F(B
|$B$$$k$h$&$G$9$1$I!"2?$bDj5ADL$j$K$d$kI,MW$O$J$$$o$1$G$9!#>e$N$h$&$K!"<B(B
|$B:](B$B$K$O$b$C$HC1=c$KH=Dj$G$-$F$7$^$&$+$bCN$l$J$$$o$1$G$9!#(B...
$B$J$k$[$I!#(Bequality$B$r(BLeibniz equality$B$H$7(B$B$FDj5A$9$k$N$H!"$=$l$r$I$N$h$&(B
$B$KH=Dj$9$k$+$OJL$NLdBj$H$$$&$o$1$G$9$M!#$&$`!#(B
$B!t$I$&$b!VA4$F$N=R8l(B P$B$K$D$$$F!W$J$I$H$$$&$N$r$_$k$H(B
$B!t$D$$7Y2|?4$,$*$3$k$b$N$G(B(^^;)
|$B$3$&$$$&;v$+$i9M$($F$b!"!VF1$8!W$H$$(B$B$&35G0$NDj5A$=$N$b$N$H!"$=$NG'<1$N(B
|$B;EJ}$H$O!"$O$C$-$jJ,$1$F9M$($J$1$l$P$J$i$J$$$H;W$$$^$9!#(B
$BMWE@(B$B$H$7$F$O!"$^$5$K$=$3$N$H$3$m$r$$$$$?$+$C$?$o$1$J$s$G$9$,!#(B
$B$d$O$j!"J,$1$F9M$($k$H$3$m$,IT==J,$@$C$?(B$B$h$&$G$9!#(B
($BLZ2<$5$s$+$i$b!"$3$NA0$NH=Dj$K4X$9$k5-;v$G!"F1MM$N;XE&$r$$$?$@$-$^$7$?!#(B)
$B!]!]!]!]!]!](B$B!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!](B
$B!!!!!!!!!!E4E4E4E4!!!!!!>>K\??8c(B (Shingo Matumoto)$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B
$B!!!!!!!!!!E4!!!!!!E4!!!!(Bshingo@ipc02.rtri.or.jp$B!!!!!!!!!!(B$B!!!!(B $B!!!!!!!!!!!!!!!!(B
$B!!!!!!!!!!E4!!E4E4!!!!!!")#1#8#5!!El5~ET9qJ,;{;T8wD.#2!]#8!]#3#8!!!!!!!!!!!!!!(B
$B!!E4!!!!!!E4!!!!E4!!!!!!E4F;Am9g5;=Q8&5f=j!!M"Aw%7%9%F%`I>2A8&5f<<!!!!!!!!!!!!(B
$B!!!!E4E4E4!!!!!!!!E4!!(B$B!!#0#4#2#5!]#7#3!]#7#3#0#6!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B
$B!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!](B$B!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!]!](B
Technical Details
Message-ID:
<SHINGO.93Feb24131857@ipc02.rtri.or.jp>Path:
arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!s.u-tokyo!kekux!crimson!ume!gama!lab!utogw!sectrl!keu02!shingoReferences:
<SUSAN.93Jan27113046@sysslc.sys.titech.ac.jp> <NAKASHIM.93Jan28163120@uranus.etl.go.jp> <C1M82C.MI3@culle.l.chiba-u.ac.jp> <1993Jan29.202150.4384@etl.go.jp> <SHINGO.93Feb10093337@ipc02.rtri.or.jp> <SATOSHI.93Feb22191139@whale.math.ryukoku.ac.jp>Show Full Headers
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X-Google-Language: Japanese,JIS X-Google-Thread: 155634,e9347125f0feaac X-Google-Attributes: gid155634,public X-Google-ArrivalTime: 1993-02-23 20:18:57 PST Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!s.u-tokyo!kekux!crimson!ume!gama!lab!utogw!sectrl!keu02!shingo From: shingo@ipc02.rtri.or.jp (Shingo MATSUMOTO) Newsgroups: fj.ai Subject: Re: equality Message-ID: <SHINGO.93Feb24131857@ipc02.rtri.or.jp> Date: 24 Feb 93 04:18:57 GMT References: <SUSAN.93Jan27113046@sysslc.sys.titech.ac.jp> <NAKASHIM.93Jan28163120@uranus.etl.go.jp> <C1M82C.MI3@culle.l.chiba-u.ac.jp> <1993Jan29.202150.4384@etl.go.jp> <SHINGO.93Feb10093337@ipc02.rtri.or.jp> <SATOSHI.93Feb22191139@whale.math.ryukoku.ac.jp> Sender: news@keu02.rtri.or.jp Followup-To: fj.ai Distribution: fj Organization: Railway Technical Research Institute Lines: 38