X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fapps_2%2Fexamples%2Fex_fpbg_refl.ma;h=99e67d5d4942c9698ac4242649ab01336384d727;hb=ad6182251b8192ee7d25c53156afbce35e3715b6;hp=fea399443dafe8d3a00ced2888886b478a4a9a47;hpb=3c7b4071a9ac096b02334c1d47468776b948e2de;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/apps_2/examples/ex_fpbg_refl.ma b/matita/matita/contribs/lambdadelta/apps_2/examples/ex_fpbg_refl.ma index fea399443..99e67d5d4 100644 --- a/matita/matita/contribs/lambdadelta/apps_2/examples/ex_fpbg_refl.ma +++ b/matita/matita/contribs/lambdadelta/apps_2/examples/ex_fpbg_refl.ma @@ -12,9 +12,8 @@ (* *) (**************************************************************************) -include "basic_2/rt_computation/fpbg_fqup.ma". include "basic_2/rt_computation/fpbs_cpxs.ma". -include "basic_2/rt_computation/fpbg_fpbs.ma". +include "basic_2/rt_computation/fpbg_fqus.ma". (* EXAMPLES *****************************************************************) @@ -37,27 +36,27 @@ lemma ApplDelta_lifts (f) (s0) (s): /5 width=1 by lifts_sort, lifts_lref, lifts_bind, lifts_flat/ qed. lemma cpr_ApplOmega_12 (G) (L) (s0) (s): - ❪G,L❫ ⊢ ApplOmega1 s0 s ⬈ ApplOmega2 s0 s. + ❨G,L❩ ⊢ ApplOmega1 s0 s ⬈ ApplOmega2 s0 s. /2 width=1 by cpx_beta/ qed. lemma cpr_ApplOmega_23 (G) (L) (s0) (s): - ❪G,L❫ ⊢ ApplOmega2 s0 s ⬈ ApplOmega3 s0 s. + ❨G,L❩ ⊢ ApplOmega2 s0 s ⬈ ApplOmega3 s0 s. /6 width=3 by cpx_eps, cpx_flat, cpx_bind, cpx_delta, ApplDelta_lifts/ qed. lemma cpr_ApplOmega_34 (G) (L) (s0) (s): - ❪G,L❫ ⊢ ApplOmega3 s0 s ⬈ ApplOmega4 s0 s. + ❨G,L❩ ⊢ ApplOmega3 s0 s ⬈ ApplOmega4 s0 s. /4 width=3 by cpx_zeta, ApplDelta_lifts, lifts_sort, lifts_flat/ qed. lemma cpxs_ApplOmega_14 (G) (L) (s0) (s): - ❪G,L❫ ⊢ ApplOmega1 s0 s ⬈* ApplOmega4 s0 s. + ❨G,L❩ ⊢ ApplOmega1 s0 s ⬈* ApplOmega4 s0 s. /5 width=5 by cpxs_strap1, cpx_cpxs/ qed. lemma fqup_ApplOmega_41 (G) (L) (s0) (s): - ❪G,L,ApplOmega4 s0 s❫ ⬂+ ❪G,L,ApplOmega1 s0 s❫. + ❨G,L,ApplOmega4 s0 s❩ ⬂+ ❨G,L,ApplOmega1 s0 s❩. /2 width=1 by/ qed. (* Main properties **********************************************************) theorem fpbg_refl (G) (L) (s0) (s): - ❪G,L,ApplOmega1 s0 s❫ > ❪G,L,ApplOmega1 s0 s❫. + ❨G,L,ApplOmega1 s0 s❩ > ❨G,L,ApplOmega1 s0 s❩. /3 width=5 by fpbs_fpbg_trans, fqup_fpbg, cpxs_fpbs/ qed.