X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLambdaDelta-1%2Fflt%2Fprops.ma;h=20356f9467ea85ee5fe4c93ad6f98d18ed0c34f9;hb=f5dfc6c24a393a4717a7b40689df768d271d9ac0;hp=a8d7daff31d25cf75e995a2015426bf4df4b2f32;hpb=b58315ef220a130a44acbf528cd6885ddadad642;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/flt/props.ma b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/flt/props.ma index a8d7daff3..20356f946 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/flt/props.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/flt/props.ma @@ -14,19 +14,17 @@ (* This file was automatically generated: do not edit *********************) -set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/flt/props". +include "LambdaDelta-1/flt/defs.ma". -include "flt/defs.ma". - -include "C/props.ma". +include "LambdaDelta-1/C/props.ma". theorem flt_thead_sx: \forall (k: K).(\forall (c: C).(\forall (u: T).(\forall (t: T).(flt c u c (THead k u t))))) \def \lambda (_: K).(\lambda (c: C).(\lambda (u: T).(\lambda (t: -T).(plus_le_lt_compat (cweight c) (cweight c) (tweight u) (S (plus (tweight -u) (tweight t))) (le_n (cweight c)) (le_n_S (tweight u) (plus (tweight u) +T).(le_lt_plus_plus (cweight c) (cweight c) (tweight u) (S (plus (tweight u) +(tweight t))) (le_n (cweight c)) (le_n_S (tweight u) (plus (tweight u) (tweight t)) (le_plus_l (tweight u) (tweight t))))))). theorem flt_thead_dx: @@ -34,8 +32,8 @@ theorem flt_thead_dx: (THead k u t))))) \def \lambda (_: K).(\lambda (c: C).(\lambda (u: T).(\lambda (t: -T).(plus_le_lt_compat (cweight c) (cweight c) (tweight t) (S (plus (tweight -u) (tweight t))) (le_n (cweight c)) (le_n_S (tweight t) (plus (tweight u) +T).(le_lt_plus_plus (cweight c) (cweight c) (tweight t) (S (plus (tweight u) +(tweight t))) (le_n (cweight c)) (le_n_S (tweight t) (plus (tweight u) (tweight t)) (le_plus_r (tweight u) (tweight t))))))). theorem flt_shift: @@ -48,7 +46,7 @@ k u) t c (THead k u t))))) (plus (cweight c) (tweight u)) (tweight t)) (\lambda (n: nat).(lt (plus (plus (cweight c) (tweight u)) (tweight t)) (S n))) (le_n (S (plus (plus (cweight c) (tweight u)) (tweight t)))) (plus (cweight c) (plus (tweight u) (tweight -t))) (plus_assoc (cweight c) (tweight u) (tweight t))) (plus (cweight c) (S +t))) (plus_assoc_l (cweight c) (tweight u) (tweight t))) (plus (cweight c) (S (plus (tweight u) (tweight t)))) (plus_n_Sm (cweight c) (plus (tweight u) (tweight t))))))). @@ -71,7 +69,7 @@ K).(\lambda (t2: T).(\lambda (_: nat).(le_lt_trans (plus (cweight c1) (eq_ind_r nat (plus (S O) (plus (cweight c2) (tweight t2))) (\lambda (n: nat).(lt (cweight c2) n)) (le_lt_n_Sm (cweight c2) (plus (cweight c2) (tweight t2)) (le_plus_l (cweight c2) (tweight t2))) (plus (plus (cweight c2) -(tweight t2)) (S O)) (plus_comm (plus (cweight c2) (tweight t2)) (S +(tweight t2)) (S O)) (plus_sym (plus (cweight c2) (tweight t2)) (S O))))))))))). theorem flt_arith2: @@ -83,8 +81,8 @@ c1 t1 (CHead c2 k2 t2) (TLRef j))))))))) (H: (lt (plus (cweight c1) (tweight t1)) (plus (cweight c2) (S O)))).(\lambda (_: K).(\lambda (t2: T).(\lambda (_: nat).(lt_le_trans (plus (cweight c1) (tweight t1)) (plus (cweight c2) (S O)) (plus (plus (cweight c2) (tweight -t2)) (S O)) H (plus_le_compat (cweight c2) (plus (cweight c2) (tweight t2)) -(S O) (S O) (le_plus_l (cweight c2) (tweight t2)) (le_n (S O))))))))))). +t2)) (S O)) H (le_plus_plus (cweight c2) (plus (cweight c2) (tweight t2)) (S +O) (S O) (le_plus_l (cweight c2) (tweight t2)) (le_n (S O))))))))))). theorem flt_wf__q_ind: \forall (P: ((C \to (T \to Prop)))).(((\forall (n: nat).((\lambda (P0: ((C