{"srcs":[{"typ":"Web","fileName":"","url":"https://us.metamath.org/metamath/set.mm","readInstr":"StopBefore","label":"syl","resetNestingLevel":true,"allLabels":[]}],"descr":"Reprove syllogism (\"syl\"), using only axioms.","varsText":"","disjText":"","stmts":[{"label":"syl.1","typ":"e","isGoal":false,"cont":"|- ( ph -> ps )","jstfText":""},{"label":"syl.2","typ":"e","isGoal":false,"cont":"|- ( ps -> ch )","jstfText":""},{"label":"1","typ":"p","isGoal":false,"cont":"|- ( ( ph -> ps ) -> ( ph -> ch ) )","jstfText":"syl.2 : imim2i"},{"label":"syl","typ":"p","isGoal":true,"cont":"|- ( ph -> ch )","jstfText":"syl.1 1 : ax-mp"}]}