diff -r bce41bea3de2 -r 8287fb5b8d7a QuotScript.thy --- a/QuotScript.thy Fri Dec 04 16:01:23 2009 +0100 +++ b/QuotScript.thy Fri Dec 04 16:12:40 2009 +0100 @@ -53,7 +53,7 @@ using a unfolding Quotient_def by blast -lemma Quotient_REL: +lemma Quotient_rel: assumes a: "Quotient E Abs Rep" shows " E r s = (E r r \ E s s \ (Abs r = Abs s))" using a unfolding Quotient_def @@ -251,7 +251,7 @@ apply(metis fun_rel_IMP) using r1 unfolding Respects_def expand_fun_eq apply(simp (no_asm_use)) -apply(metis Quotient_REL[OF q2] Quotient_REL_REP[OF q1]) +apply(metis Quotient_rel[OF q2] Quotient_REL_REP[OF q1]) done (* ask Peter: fun_rel_IMP used twice *) @@ -328,14 +328,14 @@ assumes q: "Quotient R Abs Rep" and a: "R x1 x2" shows "R x1 (Rep (Abs x2))" -using q a by (metis Quotient_REL[OF q] Quotient_ABS_REP[OF q] Quotient_REP_reflp[OF q]) +using q a by (metis Quotient_rel[OF q] Quotient_ABS_REP[OF q] Quotient_REP_reflp[OF q]) (* Not used *) lemma REP_ABS_RSP_LEFT: assumes q: "Quotient R Abs Rep" and a: "R x1 x2" shows "R x1 (Rep (Abs x2))" -using q a by (metis Quotient_REL[OF q] Quotient_ABS_REP[OF q] Quotient_REP_reflp[OF q]) +using q a by (metis Quotient_rel[OF q] Quotient_ABS_REP[OF q] Quotient_REP_reflp[OF q]) (* ----------------------------------------------------- *) (* Quantifiers: FORALL, EXISTS, EXISTS_UNIQUE, *)