X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2FT%2Fprops.ma;fp=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2FT%2Fprops.ma;h=0000000000000000000000000000000000000000;hb=88a68a9c334646bc17314d5327cd3b790202acd6;hp=faa9ed95d7ec8092b848ae861ff3da8b52e2b7e3;hpb=4904accd80118cb8126e308ae098d87f8651c9f4;p=helm.git diff --git a/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/T/props.ma b/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/T/props.ma deleted file mode 100644 index faa9ed95d..000000000 --- a/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/T/props.ma +++ /dev/null @@ -1,111 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||M|| *) -(* ||A|| A project by Andrea Asperti *) -(* ||T|| *) -(* ||I|| Developers: *) -(* ||T|| The HELM team. *) -(* ||A|| http://helm.cs.unibo.it *) -(* \ / *) -(* \ / This file is distributed under the terms of the *) -(* v GNU General Public License Version 2 *) -(* *) -(**************************************************************************) - -(* This file was automatically generated: do not edit *********************) - -include "Basic-1/T/defs.ma". - -theorem not_abbr_abst: - not (eq B Abbr Abst) -\def - \lambda (H: (eq B Abbr Abst)).(let H0 \def (eq_ind B Abbr (\lambda (ee: -B).(match ee in B return (\lambda (_: B).Prop) with [Abbr \Rightarrow True | -Abst \Rightarrow False | Void \Rightarrow False])) I Abst H) in (False_ind -False H0)). -(* COMMENTS -Initial nodes: 34 -END *) - -theorem not_void_abst: - not (eq B Void Abst) -\def - \lambda (H: (eq B Void Abst)).(let H0 \def (eq_ind B Void (\lambda (ee: -B).(match ee in B return (\lambda (_: B).Prop) with [Abbr \Rightarrow False | -Abst \Rightarrow False | Void \Rightarrow True])) I Abst H) in (False_ind -False H0)). -(* COMMENTS -Initial nodes: 34 -END *) - -theorem not_abbr_void: - not (eq B Abbr Void) -\def - \lambda (H: (eq B Abbr Void)).(let H0 \def (eq_ind B Abbr (\lambda (ee: -B).(match ee in B return (\lambda (_: B).Prop) with [Abbr \Rightarrow True | -Abst \Rightarrow False | Void \Rightarrow False])) I Void H) in (False_ind -False H0)). -(* COMMENTS -Initial nodes: 34 -END *) - -theorem not_abst_void: - not (eq B Abst Void) -\def - \lambda (H: (eq B Abst Void)).(let H0 \def (eq_ind B Abst (\lambda (ee: -B).(match ee in B return (\lambda (_: B).Prop) with [Abbr \Rightarrow False | -Abst \Rightarrow True | Void \Rightarrow False])) I Void H) in (False_ind -False H0)). -(* COMMENTS -Initial nodes: 34 -END *) - -theorem thead_x_y_y: - \forall (k: K).(\forall (v: T).(\forall (t: T).((eq T (THead k v t) t) \to -(\forall (P: Prop).P)))) -\def - \lambda (k: K).(\lambda (v: T).(\lambda (t: T).(T_ind (\lambda (t0: T).((eq -T (THead k v t0) t0) \to (\forall (P: Prop).P))) (\lambda (n: nat).(\lambda -(H: (eq T (THead k v (TSort n)) (TSort n))).(\lambda (P: Prop).(let H0 \def -(eq_ind T (THead k v (TSort n)) (\lambda (ee: T).(match ee in T return -(\lambda (_: T).Prop) with [(TSort _) \Rightarrow False | (TLRef _) -\Rightarrow False | (THead _ _ _) \Rightarrow True])) I (TSort n) H) in -(False_ind P H0))))) (\lambda (n: nat).(\lambda (H: (eq T (THead k v (TLRef -n)) (TLRef n))).(\lambda (P: Prop).(let H0 \def (eq_ind T (THead k v (TLRef -n)) (\lambda (ee: T).(match ee in T return (\lambda (_: T).Prop) with [(TSort -_) \Rightarrow False | (TLRef _) \Rightarrow False | (THead _ _ _) -\Rightarrow True])) I (TLRef n) H) in (False_ind P H0))))) (\lambda (k0: -K).(\lambda (t0: T).(\lambda (_: (((eq T (THead k v t0) t0) \to (\forall (P: -Prop).P)))).(\lambda (t1: T).(\lambda (H0: (((eq T (THead k v t1) t1) \to -(\forall (P: Prop).P)))).(\lambda (H1: (eq T (THead k v (THead k0 t0 t1)) -(THead k0 t0 t1))).(\lambda (P: Prop).(let H2 \def (f_equal T K (\lambda (e: -T).(match e in T return (\lambda (_: T).K) with [(TSort _) \Rightarrow k | -(TLRef _) \Rightarrow k | (THead k1 _ _) \Rightarrow k1])) (THead k v (THead -k0 t0 t1)) (THead k0 t0 t1) H1) in ((let H3 \def (f_equal T T (\lambda (e: -T).(match e in T return (\lambda (_: T).T) with [(TSort _) \Rightarrow v | -(TLRef _) \Rightarrow v | (THead _ t2 _) \Rightarrow t2])) (THead k v (THead -k0 t0 t1)) (THead k0 t0 t1) H1) in ((let H4 \def (f_equal T T (\lambda (e: -T).(match e in T return (\lambda (_: T).T) with [(TSort _) \Rightarrow (THead -k0 t0 t1) | (TLRef _) \Rightarrow (THead k0 t0 t1) | (THead _ _ t2) -\Rightarrow t2])) (THead k v (THead k0 t0 t1)) (THead k0 t0 t1) H1) in -(\lambda (H5: (eq T v t0)).(\lambda (H6: (eq K k k0)).(let H7 \def (eq_ind T -v (\lambda (t2: T).((eq T (THead k t2 t1) t1) \to (\forall (P0: Prop).P0))) -H0 t0 H5) in (let H8 \def (eq_ind K k (\lambda (k1: K).((eq T (THead k1 t0 -t1) t1) \to (\forall (P0: Prop).P0))) H7 k0 H6) in (H8 H4 P)))))) H3)) -H2))))))))) t))). -(* COMMENTS -Initial nodes: 461 -END *) - -theorem tweight_lt: - \forall (t: T).(lt O (tweight t)) -\def - \lambda (t: T).(T_ind (\lambda (t0: T).(lt O (tweight t0))) (\lambda (_: -nat).(le_n (S O))) (\lambda (_: nat).(le_n (S O))) (\lambda (_: K).(\lambda -(t0: T).(\lambda (H: (lt O (tweight t0))).(\lambda (t1: T).(\lambda (_: (lt O -(tweight t1))).(le_S (S O) (plus (tweight t0) (tweight t1)) (le_plus_trans (S -O) (tweight t0) (tweight t1) H))))))) t). -(* COMMENTS -Initial nodes: 85 -END *) -