%!PS-Adobe-2.0 EPSF-2.0 %%Title: axioms.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Wed May 5 18:30:03 2004 %%For: herbelin@limoux.polytechnique.fr (Hugo Herbelin) %%BoundingBox: 0 0 437 372 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 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gr gr % arrowhead n 2225 3838 m 2251 3959 l 2285 3840 l 2225 3838 l cp gs 0.00 setgray ef gr col0 s % Polyline n 7800 1275 m 2100 1275 l gs col0 s gr /Times-Roman-iso ff 180.00 scf sf 6600 5100 m gs 1 -1 sc (Proof-irrelevance) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3675 4200 m gs 1 -1 sc (Excluded-middle) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 6900 1800 m gs 1 -1 sc (Predicate extensionality) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3375 3525 m gs 1 -1 sc (\(Diaconescu\)) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 4650 3600 m gs 1 -1 sc (Propositional degeneracy) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3825 1800 m gs 1 -1 sc (Relational choice axiom) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 1725 1800 m gs 1 -1 sc (Description principle) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 2550 2400 m gs 1 -1 sc (Functional choice axiom) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3600 5100 m gs 1 -1 sc (Decidability of equality on $A$) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 4425 4575 m gs 1 -1 sc (\(needs Prop-impredicativity\)) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 5025 4725 m gs 1 -1 sc (\(Berardi\)) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 1500 3075 m gs 1 -1 sc (\(if Set impredicative\)) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 1500 4200 m gs 1 -1 sc (Not excluded-middle) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3600 6000 m gs 1 -1 sc (Axiom K on A) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3600 7200 m gs 1 -1 sc (Invariance by substitution of reflexivity proofs for equality on A) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 6150 4200 m gs 1 -1 sc (Propositional extensionality) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 2100 1200 m gs 1 -1 sc (The dependency graph of axioms in the Calculus of Inductive Constructions) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3600 6900 m gs 1 -1 sc (Injectivity of equality on sigma-types on A) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3600 6300 m gs 1 -1 sc (Uniqueness of reflexivity proofs for equality on A) col0 sh gr /Times-Roman-iso ff 180.00 scf sf 3600 6600 m gs 1 -1 sc (Uniqueness of equality proofs on A) col0 sh gr % here ends figure; $F2psEnd rs showpage