X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fapps_2%2Fexamples%2Fex_fpbg_refl.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fapps_2%2Fexamples%2Fex_fpbg_refl.ma;h=b41ddae8a0b2805a59db7275adc2f36824c2ba59;hb=db020b4218272e2e35641ce3bc3b0a9b3afda899;hp=257015d95c14cd69dd8aaf7db31d9eadfe8b5cbe;hpb=d8f6494f48aa08bb32d9d1ac82fc16e9e41b76ac;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 257015d95..b41ddae8a 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 @@ -36,22 +36,22 @@ lemma ApplDelta_lifts (f:rtmap) (s0) (s): ⬆*[f] (ApplDelta s0 s) ≘ (ApplDelta s0 s). /5 width=1 by lifts_sort, lifts_lref, lifts_bind, lifts_flat/ qed. -lemma cpr_ApplOmega_12 (h) (G) (L) (s0) (s): ⦃G, L⦄ ⊢ ApplOmega1 s0 s ➡[h] ApplOmega2 s0 s. +lemma cpr_ApplOmega_12 (h) (G) (L) (s0) (s): ⦃G,L⦄ ⊢ ApplOmega1 s0 s ➡[h] ApplOmega2 s0 s. /2 width=1 by cpm_beta/ qed. -lemma cpr_ApplOmega_23 (h) (G) (L) (s0) (s): ⦃G, L⦄ ⊢ ApplOmega2 s0 s ➡[h] ApplOmega3 s0 s. +lemma cpr_ApplOmega_23 (h) (G) (L) (s0) (s): ⦃G,L⦄ ⊢ ApplOmega2 s0 s ➡[h] ApplOmega3 s0 s. /6 width=3 by cpm_eps, cpm_appl, cpm_bind, cpm_delta, ApplDelta_lifts/ qed. -lemma cpr_ApplOmega_34 (h) (G) (L) (s0) (s): ⦃G, L⦄ ⊢ ApplOmega3 s0 s ➡[h] ApplOmega4 s0 s. +lemma cpr_ApplOmega_34 (h) (G) (L) (s0) (s): ⦃G,L⦄ ⊢ ApplOmega3 s0 s ➡[h] ApplOmega4 s0 s. /4 width=3 by cpm_zeta, ApplDelta_lifts, lifts_sort, lifts_flat/ qed. -lemma cpxs_ApplOmega_14 (h) (G) (L) (s0) (s): ⦃G, L⦄ ⊢ ApplOmega1 s0 s ⬈*[h] ApplOmega4 s0 s. +lemma cpxs_ApplOmega_14 (h) (G) (L) (s0) (s): ⦃G,L⦄ ⊢ ApplOmega1 s0 s ⬈*[h] ApplOmega4 s0 s. /5 width=4 by cpxs_strap1, cpm_fwd_cpx/ qed. -lemma fqup_ApplOmega_41 (G) (L) (s0) (s): ⦃G,L,ApplOmega4 s0 s⦄ ⊐+ ⦃G,L,ApplOmega1 s0 s⦄. +lemma fqup_ApplOmega_41 (G) (L) (s0) (s): ⦃G,L,ApplOmega4 s0 s⦄ ⬂+ ⦃G,L,ApplOmega1 s0 s⦄. /2 width=1 by/ qed. (* Main properties **********************************************************) -theorem fpbg_refl (h) (o) (G) (L) (s0) (s): ⦃G,L,ApplOmega1 s0 s⦄ >[h,o] ⦃G,L,ApplOmega1 s0 s⦄. +theorem fpbg_refl (h) (G) (L) (s0) (s): ⦃G,L,ApplOmega1 s0 s⦄ >[h] ⦃G,L,ApplOmega1 s0 s⦄. /3 width=5 by fpbs_fpbg_trans, fqup_fpbg, cpxs_fpbs/ qed.