diff -r 9c968284553c -r fb33684e4ece Quot/Nominal/Terms.thy --- a/Quot/Nominal/Terms.thy Mon Feb 22 10:57:39 2010 +0100 +++ b/Quot/Nominal/Terms.thy Mon Feb 22 12:12:32 2010 +0100 @@ -116,9 +116,27 @@ apply(simp add: permute_eqvt[symmetric]) done +prove alpha1_reflp_aux: {* (build_alpha_refl_gl [@{term alpha_rtrm1}, @{term alpha_bp}]) *} +apply (tactic {* + (indtac @{thm rtrm1_bp.induct} ["x", "x"] THEN_ALL_NEW + asm_full_simp_tac (HOL_ss addsimps @{thms alpha1_inj}) THEN_ALL_NEW + TRY o REPEAT_ALL_NEW (CHANGED o rtac @{thm conjI}) THEN_ALL_NEW + rtac @{thm exI[of _ "0 :: perm"]} THEN_ALL_NEW + asm_full_simp_tac (HOL_ss addsimps @{thms alpha_gen fresh_star_def fresh_zero_perm permute_zero ball_triv}) + ) 1 *}) +done + +lemma alpha1_reflp: + "reflp alpha_rtrm1" + "reflp alpha_bp" +unfolding reflp_def +apply (simp_all add: alpha1_reflp_aux) +done + lemma alpha1_equivp: "equivp alpha_rtrm1" sorry + quotient_type trm1 = rtrm1 / alpha_rtrm1 by (rule alpha1_equivp)