X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Fpr2%2Fpr2.ma;h=f8df4e9e26c296e1fd104f7115fc12ddcbc1dd3a;hb=8ae1653eb75d2b57c50e077c49cb9d078313ea9d;hp=d9f2063248084617e0b00f387530789fef7913d8;hpb=3531d88e2a19cba027b4b882f8dd74bf37283b9c;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr2/pr2.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr2/pr2.ma index d9f206324..f8df4e9e2 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr2/pr2.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr2/pr2.ma @@ -14,11 +14,11 @@ (* This file was automatically generated: do not edit *********************) -include "LambdaDelta-1/pr2/defs.ma". +include "Basic-1/pr2/defs.ma". -include "LambdaDelta-1/pr0/pr0.ma". +include "Basic-1/pr0/pr0.ma". -include "LambdaDelta-1/getl/props.ma". +include "Basic-1/getl/props.ma". theorem pr2_confluence__pr2_free_free: \forall (c: C).(\forall (t0: T).(\forall (t1: T).(\forall (t2: T).((pr0 t0 @@ -32,6 +32,9 @@ t2 t)) (\lambda (t: T).(pr0 t1 t)) (ex2 T (\lambda (t: T).(pr2 c t1 t)) 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))))))). +(* COMMENTS +Initial nodes: 135 +END *) theorem pr2_confluence__pr2_free_delta: \forall (c: C).(\forall (d: C).(\forall (t0: T).(\forall (t1: T).(\forall @@ -58,6 +61,9 @@ T).(pr2 c t2 t))) (\lambda (x0: T).(\lambda (H6: (pr0 t2 x0)).(\lambda (H7: 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))))))))))))). +(* COMMENTS +Initial nodes: 403 +END *) theorem pr2_confluence__pr2_delta_delta: \forall (c: C).(\forall (d: C).(\forall (d0: C).(\forall (t0: T).(\forall @@ -148,6 +154,9 @@ t)) x1 (pr2_delta c d u i H22 t1 x0 H8 x1 H23) (pr2_free c t2 x1 H11))) (pr0_subst0 t4 x H5 u0 t2 i0 H4 u0 (pr0_refl u0)))))) H7)) (pr0_subst0 t3 x H6 u t1 i H1 u (pr0_refl u)))))) (pr0_confluence t0 t4 H3 t3 H0))))))))))))))))))). +(* COMMENTS +Initial nodes: 1901 +END *) theorem pr2_confluence: \forall (c: C).(\forall (t0: T).(\forall (t1: T).((pr2 c t0 t1) \to (\forall @@ -243,4 +252,7 @@ H11 H20 H21 H22)))) t7 (sym_eq T t7 t2 H19))) t5 (sym_eq T t5 t0 H18))) c1 (refl_equal T t0) (refl_equal T t2)))))) t (sym_eq T t t1 H8))) t3 (sym_eq T t3 t0 H7))) c0 (sym_eq C c0 c H4) H5 H6 H1 H2 H3))))]) in (H1 (refl_equal C c) (refl_equal T t0) (refl_equal T t1)))))))). +(* COMMENTS +Initial nodes: 2087 +END *)