developments fixup

[helm.git] / matita / contribs / prova.ma

diff --git a/matita/contribs/prova.ma b/matita/contribs/prova.ma
index 407db9b6658f907ba5b0d8718e6524773858421f..cab82e7df9b09ac54a392492fa123b70b23e8c95 100644 (file)
--- a/matita/contribs/prova.ma
+++ b/matita/contribs/prova.ma
@@ -12,16 +12,69 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/test/".
+set "baseuri" "cic:/matita/test/prova".
 
-include "nat/nat.ma".
+include "LAMBDA-TYPES/LambdaDelta-1/preamble.ma".
 
-theorem pippo: \forall (P,Q,R:nat \to Prop).
-               \forall x,y. x=y \to P x \to Q x \to R x.
-               intros.
-               try rewrite > P in Q.  
-(*             
-theorem pippo2: \forall (P,Q,R:nat \to Prop).
-                \forall x,y. x=y \to P x \to Q x \to R x.
-                intros. rewrite > H in y.
+alias id "Abst" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/B.ind#xpointer(1/1/2)".
+alias id "Abbr" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/B.ind#xpointer(1/1/1)".
+(*
+alias id "B" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/B.ind#xpointer(1/1)".
+*)
+theorem not_abbr_abst:
+ (Abbr\neq Abst)
+.(* tactics: 7 *)
+whd in \vdash (%).
+intros 1 (H).
+letin DEFINED \def (\lambda ee:B
+ .match ee in B return \lambda _:B.Prop with 
+  [Abbr\rArr True|Abst\rArr False|Void\rArr False]).(* extracted *)
+cut (DEFINED Abbr) as ASSUMED;
+[rewrite > H in ASSUMED:(%) as (H0)
+|apply I
+].
+elim H0 using False_ind names 0.(* 2 C I 2 0 *)
+qed.
+
+alias id "Abbr" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/B.ind#xpointer(1/1/1)".
+alias id "Abst" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/B.ind#xpointer(1/1/2)".
+alias id "Appl" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/F.ind#xpointer(1/1/1)".
+alias id "Bind" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/K.ind#xpointer(1/1/1)".
+alias id "Cast" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/F.ind#xpointer(1/1/2)".
+alias id "ex2_sym" = "cic:/matita/LAMBDA-TYPES/Level-1/Base/types/props/ex2_sym.con".
+alias id "ex3_2_ind" = "cic:/matita/LAMBDA-TYPES/Level-1/Base/types/defs/ex3_2_ind.con".
+alias id "Flat" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/K.ind#xpointer(1/1/2)".
+alias id "lift" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/lift/defs/lift.con".
+alias id "or3_ind" = "cic:/matita/LAMBDA-TYPES/Level-1/Base/types/defs/or3_ind.con".
+alias id "pr0_beta" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1/3)".
+alias id "pr0" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1)".
+alias id "pr0_comp" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1/2)".
+alias id "pr0_delta" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1/5)".
+alias id "pr0_epsilon" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1/7)".
+alias id "pr0_ind" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0_ind.con".
+alias id "pr0_subst0_fwd" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/props/pr0_subst0_fwd.con".
+alias id "pr0_upsilon" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1/4)".
+alias id "pr0_zeta" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/defs/pr0.ind#xpointer(1/1/6)".
+alias id "s" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/s/defs/s.con".
+alias id "subst0_both" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/defs/subst0.ind#xpointer(1/1/4)".
+alias id "subst0" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/defs/subst0.ind#xpointer(1/1)".
+alias id "subst0_confluence_neq" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/subst0/subst0_confluence_neq.con".
+alias id "subst0_fst" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/defs/subst0.ind#xpointer(1/1/2)".
+alias id "subst0_gen_head" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/fwd/subst0_gen_head.con".
+alias id "subst0_gen_lift_ge" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/fwd/subst0_gen_lift_ge.con".
+alias id "subst0_lift_ge_s" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/props/subst0_lift_ge_s.con".
+alias id "subst0_snd" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/defs/subst0.ind#xpointer(1/1/3)".
+alias id "subst0_subst0_back" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/subst0/subst0_subst0_back.con".
+alias id "subst0_trans" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/subst0/subst0/subst0_trans.con".
+alias id "T" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/T.ind#xpointer(1/1)".
+alias id "THead" = "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/T/defs/T.ind#xpointer(1/1/3)".
+
+inline procedural
+   "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/props/pr0_subst0.con".
+(*
+inline procedural
+   "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/ty3/pr3/ty3_sred_wcpr0_pr0.con".
+
+inline procedural
+   "cic:/Coq/Reals/RiemannInt/FTC_Riemann.con".
 *)