X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLambdaDelta-1%2Fpc3%2Fnf2.ma;h=de03e8cb162b685c8136d007fc000f8b2b7571ba;hb=442708b2259f10d1c5fce7cf33ecdcb1085b0621;hp=41136207b68cab42aca00ca044d65b72dc30c8f4;hpb=6329f0f87906d3347c39d2ba2f5ec2b2124f17a2;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pc3/nf2.ma b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pc3/nf2.ma index 41136207b..de03e8cb1 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pc3/nf2.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pc3/nf2.ma @@ -14,11 +14,9 @@ (* This file was automatically generated: do not edit *********************) -set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/pc3/nf2". +include "LambdaDelta-1/pc3/defs.ma". -include "pc3/defs.ma". - -include "nf2/pr3.ma". +include "LambdaDelta-1/nf2/pr3.ma". theorem pc3_nf2: \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3 c t1 t2) \to ((nf2 c @@ -35,3 +33,14 @@ t2 t1 H5 H1) in (let H7 \def (eq_ind T t2 (\lambda (t: T).(pr3 c t t1)) H5 t1 H_y0) in (eq_ind_r T t1 (\lambda (t: T).(eq T t1 t)) (refl_equal T t1) t2 H_y0))))))))) H2))))))). +theorem pc3_nf2_unfold: + \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3 c t1 t2) \to ((nf2 c +t2) \to (pr3 c t1 t2))))) +\def + \lambda (c: C).(\lambda (t1: T).(\lambda (t2: T).(\lambda (H: (pc3 c t1 +t2)).(\lambda (H0: (nf2 c t2)).(let H1 \def H in (ex2_ind T (\lambda (t: +T).(pr3 c t1 t)) (\lambda (t: T).(pr3 c t2 t)) (pr3 c t1 t2) (\lambda (x: +T).(\lambda (H2: (pr3 c t1 x)).(\lambda (H3: (pr3 c t2 x)).(let H_y \def +(nf2_pr3_unfold c t2 x H3 H0) in (let H4 \def (eq_ind_r T x (\lambda (t: +T).(pr3 c t1 t)) H2 t2 H_y) in H4))))) H1)))))). +