X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=matita%2Flibrary%2Flegacy%2Fcoq.ma;h=092a11c6ae3e7e38c7c6c083e55dc7a5c554ac56;hb=25871137d6571c7634c967c3b2fc87eab75b9704;hp=8669d1ef7e0715cbe602ea0465df1701a01bed03;hpb=35da6946c671c249b63375f97f07164786e5a303;p=helm.git diff --git a/matita/library/legacy/coq.ma b/matita/library/legacy/coq.ma index 8669d1ef7..092a11c6a 100644 --- a/matita/library/legacy/coq.ma +++ b/matita/library/legacy/coq.ma @@ -76,6 +76,18 @@ interpretation "Coq's natural 'not less or equal than'" 'nleq x y = (cic:/Coq/Init/Logic/not.con (cic:/Coq/Init/Peano/le.ind#xpointer(1/1) x y)). +(* aliases *) + +alias id "or" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1)". +alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)". +alias id "eq" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1)". +alias id "plus" = "cic:/Coq/Init/Peano/plus.con". +alias id "le_trans" = "cic:/Coq/Arith/Le/le_trans.con". +alias id "le_plus_r" = "cic:/Coq/Arith/Plus/le_plus_r.con". +alias id "le" = "cic:/Coq/Init/Peano/le.ind#xpointer(1/1)". + +(* theorems *) + theorem f_equal1 : \forall A,B:Type. \forall f:A \to B. \forall x,y:A. x = y \to f y = f x.