X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Ftopology%2Figft-minimality-CIC.svg;h=d70c35e036ea237a63fea76857a25ff01199c928;hb=2e6ab93a8f10937942177133d2873efd4cf8562f;hp=3cf9b46fba5d3dc530859adee41ca9a436597ce4;hpb=8de75e1a28002270f98c13eb0933f1780c181eb5;p=helm.git diff --git a/helm/software/matita/nlibrary/topology/igft-minimality-CIC.svg b/helm/software/matita/nlibrary/topology/igft-minimality-CIC.svg index 3cf9b46fb..d70c35e03 100644 --- a/helm/software/matita/nlibrary/topology/igft-minimality-CIC.svg +++ b/helm/software/matita/nlibrary/topology/igft-minimality-CIC.svg @@ -8,8 +8,8 @@ xmlns="http://www.w3.org/2000/svg" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" - width="371.16943" - height="210.00404" + width="600" + height="445" id="svg2" sodipodi:version="0.32" inkscape:version="0.46" @@ -18,6 +18,65 @@ version="1.0"> + + + + + + + + + + + + + + + + inkscape:window-y="26" + inkscape:showpageshadow="true" + units="cm" /> @@ -87,121 +148,572 @@ inkscape:label="Layer 1" inkscape:groupmode="layer" id="layer1" - transform="translate(-100.2483,-683.58839)"> + transform="translate(-48.720708,-561.57164)"> Matita's CICCProp,Type predicativeNo elim CProp toward Type - + x="366.57452" + y="796.92438" + id="tspan6187">CProp impredicative EM for CPropCProp = TypeCProp impredicative + x="115.37615" + y="809.98383" + id="tspan3250" /> + + + Matita's CICCProp,Type predicativeNo elim CProp toward Type + + + + + Coq's CIC (work in Prop)Prop impredicativeNo elim Prop toward Type + + + + + + + Coq's CIC (work in Type)CProp=Type predicativeMartin Löf Axiom of Choice + + + + CIC + EMProp impredicative with EMNo elim Prop toward Type + + + + + + CProp[i] = Type[i]Exists = Sigma - + x="440.85757" + y="668.56934" + id="tspan6207">Excluded Middle Reuse theorems inWhere's the content?a classical setting - + x="206.57732" + y="618.78223" + id="tspan8399" /> + + + + + + + CProp Impredicative + Girard's paradox + + + + + + Martin LöfAxiom of ChoiceAxiom of Choice - - + x="240.21919" + y="656.33929" + id="tspan8439" /> + + Bishop + + + + + + Topos + + + + + + ZFC + + + + + + + + + + + + + becomes + + + Legenda + + good to formalise X + X + + + + + + +