X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2FgTopLevel%2Fesempi%2Felim2.cic;fp=helm%2FgTopLevel%2Fesempi%2Felim2.cic;h=0000000000000000000000000000000000000000;hb=869549224eef6278a48c16ae27dd786376082b38;hp=da77539661f9152f7dd894f06bbe12700b55d91f;hpb=89262281b6e83bd2321150f81f1a0583645eb0c8;p=helm.git diff --git a/helm/gTopLevel/esempi/elim2.cic b/helm/gTopLevel/esempi/elim2.cic deleted file mode 100644 index da7753966..000000000 --- a/helm/gTopLevel/esempi/elim2.cic +++ /dev/null @@ -1,36 +0,0 @@ -alias nat /Coq/Init/Datatypes/nat.ind#1/1 -alias eq /Coq/Init/Logic/Equality/eq.ind#1/1 -alias eq_ind /Coq/Init/Logic/Equality/eq_ind.con -alias eqT /Coq/Init/Logic_Type/eqT.ind#1/1 -alias O /Coq/Init/Datatypes/nat.ind#1/1/1 -alias S /Coq/Init/Datatypes/nat.ind#1/1/2 -alias plus /Coq/Init/Peano/plus.con -alias mult /Coq/Init/Peano/mult.con -alias le /Coq/Init/Peano/le.ind#1/1 -alias lt /Coq/Init/Peano/lt.con -alias not /Coq/Init/Logic/not.con -alias and /Coq/Init/Logic/Conjunction/and.ind#1/1 -alias prod /Coq/Init/Datatypes/prod.ind#1/1 -alias list /Coq/Lists/PolyList/Lists/list.ind#1/1 -alias AllS_assoc /Coq/Lists/TheoryList/Lists/Assoc_sec/AllS_assoc.ind#1/1 - -!A:Set.!B:Set.!P:!a:A.Prop.!l:(list (prod A B)). - !H:(AllS_assoc A B P l). - (and - (eq (list (prod A B)) l l) - (eqT !n:A.Prop P P)) - -(* Intros; Elim H: - -?1: (A,B:Set; P:(A->Prop); l:(list A*B)) - (AllS_assoc A B P l) -> (nil A*B)=(nil A*B)/\P==P -?2: (A,B:Set; P:(A->Prop); l:(list A*B)) - (AllS_assoc A B P l) -> - (a:A; b:B; l0:(list A*B)) - (P a) -> (AllS_assoc A B P l0) -> l0=l0/\P==P -> - (cons (a,b) l0)=(cons (a,b) l0)/\P==P -[A,B:Set; P:(A->Prop); l:(list A*B); H:(AllS_assoc A B P l)] - (AllS_assoc_ind A B P [l0:(list A*B)]l0=l0/\P==P - (?1 A B P l H) (?2 A B P l H) l H) - -*)