X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fpr2%2Fpr2.ma;h=3151fc53cc7dcb6c90e4e03a76c940d2c8335ef9;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=df933985d13bde771f1a1d2fb65930b72ca4b33a;hpb=639e798161afea770f41d78673c0fe3be4125beb;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/pr2/pr2.ma b/matita/matita/contribs/lambdadelta/basic_1/pr2/pr2.ma index df933985d..3151fc53c 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/pr2/pr2.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/pr2/pr2.ma @@ -20,7 +20,7 @@ include "basic_1/pr0/pr0.ma". include "basic_1/getl/fwd.ma". -theorem pr2_confluence__pr2_free_free: +fact pr2_confluence__pr2_free_free: \forall (c: C).(\forall (t0: T).(\forall (t1: T).(\forall (t2: T).((pr0 t0 t1) \to ((pr0 t0 t2) \to (ex2 T (\lambda (t: T).(pr2 c t1 t)) (\lambda (t: T).(pr2 c t2 t)))))))) @@ -33,7 +33,7 @@ x)).(\lambda (H2: (pr0 t1 x)).(ex_intro2 T (\lambda (t: T).(pr2 c t1 t)) (\lambda (t: T).(pr2 c t2 t)) x (pr2_free c t1 x H2) (pr2_free c t2 x H1))))) (pr0_confluence t0 t2 H0 t1 H))))))). -theorem pr2_confluence__pr2_free_delta: +fact pr2_confluence__pr2_free_delta: \forall (c: C).(\forall (d: C).(\forall (t0: T).(\forall (t1: T).(\forall (t2: T).(\forall (t4: T).(\forall (u: T).(\forall (i: nat).((pr0 t0 t1) \to ((getl i c (CHead d (Bind Abbr) u)) \to ((pr0 t0 t4) \to ((subst0 i u t4 t2) @@ -59,7 +59,7 @@ T).(pr2 c t2 t)) x0 (pr2_delta c d u i H0 t1 x H4 x0 H7) (pr2_free c t2 x0 H6))))) H5)) (pr0_subst0 t4 x H3 u t2 i H2 u (pr0_refl u)))))) (pr0_confluence t0 t4 H1 t1 H))))))))))))). -theorem pr2_confluence__pr2_delta_delta: +fact pr2_confluence__pr2_delta_delta: \forall (c: C).(\forall (d: C).(\forall (d0: C).(\forall (t0: T).(\forall (t1: T).(\forall (t2: T).(\forall (t3: T).(\forall (t4: T).(\forall (u: T).(\forall (u0: T).(\forall (i: nat).(\forall (i0: nat).((getl i c (CHead d