diff options
Diffstat (limited to 'doc/faq/axioms.pdf_t')
-rw-r--r-- | doc/faq/axioms.pdf_t | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/doc/faq/axioms.pdf_t b/doc/faq/axioms.pdf_t new file mode 100644 index 000000000..06dc4b280 --- /dev/null +++ b/doc/faq/axioms.pdf_t @@ -0,0 +1,43 @@ +\begin{picture}(0,0)% +\includegraphics{axioms.pdf}% +\end{picture}% +\setlength{\unitlength}{3947sp}% +% +\begingroup\makeatletter\ifx\SetFigFont\undefined% +\gdef\SetFigFont#1#2#3#4#5{% + \reset@font\fontsize{#1}{#2pt}% + \fontfamily{#3}\fontseries{#4}\fontshape{#5}% + \selectfont}% +\fi\endgroup% +\begin{picture}(10779,8553)(436,-8605) +\put(3676,-5386){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Excluded-middle}}}} +\put(451,-211){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Operator iota}}}} +\put(3151,-1561){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Constructive indefinite description}}}} +\put(3151,-1786){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}in propositional context}}}} +\put(451,-1561){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Constructive definite descr.}}}} +\put(451,-1786){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}in propositional context}}}} +\put(3826,-2911){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Relational choice axiom}}}} +\put(6901,-2911){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Predicate extensionality}}}} +\put(1276,-4186){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}(if Set impredicative)}}}} +\put(3751,-4411){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}(Diaconescu)}}}} +\put(4951,-4711){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Propositional degeneracy}}}} +\put(6151,-5311){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Propositional extensionality}}}} +\put(4951,-5686){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}(needs Prop-impredicativity)}}}} +\put(6001,-5911){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}(Berardi)}}}} +\put(1576,-5386){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Not excluded-middle}}}} +\put(3376,-6586){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Decidability of equality on any A}}}} +\put(3601,-7336){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Axiom K on A}}}} +\put(3601,-7636){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Uniqueness of reflexivity proofs for equality on A}}}} +\put(3601,-7936){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Uniqueness of equality proofs on A}}}} +\put(3601,-8536){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\familydefault}{\mddefault}{\updefault}Invariance by substitution of reflexivity proofs for equality on A}}}} +\put(9001,-4336){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Functional extensionality}}}} +\put(3601,-8236){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Injectivity of equality on Sigma-types on A}}}} +\put(6451,-6436){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Proof-irrelevance}}}} +\put(3151,-211){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Operator epsilon}}}} +\put(3151,-811){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Constructive}}}} +\put(3151,-1036){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}indefinite description}}}} +\put(3151,-2311){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Functional choice axiom}}}} +\put(451,-811){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Constructive}}}} +\put(451,-1036){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}definite description}}}} +\put(451,-2911){\makebox(0,0)[lb]{\smash{{\SetFigFont{12}{14.4}{\rmdefault}{\bfdefault}{\updefault}Axiom of unique choice}}}} +\end{picture}% |