X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLegacy-2%2Fpreamble.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLegacy-2%2Fpreamble.ma;h=b9b749816f0a47d6b69ab5d130a1e940d0d32858;hb=3b2361afb73203749541ad07e94648da6057ae67;hp=a2c8a84ed1358d82d02d60b2a1c5694c54af07d1;hpb=413007de240fefb28650bb5ba7940f46db656751;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Legacy-2/preamble.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Legacy-2/preamble.ma index a2c8a84ed..b9b749816 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/Legacy-2/preamble.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/Legacy-2/preamble.ma @@ -34,15 +34,25 @@ default "false" default "absurd" cic:/matita/LAMBDA-TYPES/Legacy-1/coq/props/absurd.con. -interpretation "Coq's natural plus" 'plus x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/plus.con x y). -interpretation "Coq's natural minus" 'minus x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/minus.con x y). -interpretation "Coq's logical and" 'and x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/land.ind#xpointer(1/1) x y). -interpretation "Coq's logical or" 'or x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/or.ind#xpointer(1/1) x y). -interpretation "Coq's logical not" 'not x = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/not.con x). -interpretation "Coq's exists" 'exists \eta.x = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/ex.ind#xpointer(1/1) _ x). -interpretation "Coq's natural 'less or equal to'" 'leq x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/le.ind#xpointer(1/1) x y). -interpretation "Coq's natural 'less than'" 'lt x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/lt.con x y). -interpretation "Coq's leibnitz's equality" 'eq x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/eq.ind#xpointer(1/1) _ x y). +interpretation "Coq 7.3.1 natural plus" 'plus x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/plus.con x y). +interpretation "Coq 7.3.1 natural minus" 'minus x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/minus.con x y). +interpretation "Coq 7.3.1 logical and" 'and x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/land.ind#xpointer(1/1) x y). +interpretation "Coq 7.3.1 logical or" 'or x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/or.ind#xpointer(1/1) x y). +interpretation "Coq 7.3.1 logical not" 'not x = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/not.con x). +interpretation "Coq 7.3.1 exists" 'exists \eta.x = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/ex.ind#xpointer(1/1) _ x). +interpretation "Coq 7.3.1 natural 'less or equal to'" 'leq x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/le.ind#xpointer(1/1) x y). +interpretation "Coq 7.3.1 natural 'less than'" 'lt x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/lt.con x y). +interpretation "Coq 7.3.1 leibnitz's equality" 'eq x y = (cic:/matita/LAMBDA-TYPES/Legacy-1/coq/defs/eq.ind#xpointer(1/1) _ x y). + +alias symbol "plus" = "Coq 7.3.1 natural plus". +alias symbol "minus" = "Coq 7.3.1 natural minus". +alias symbol "and" = "Coq 7.3.1 logical and". +alias symbol "or" = "Coq 7.3.1 logical or". +alias symbol "not" = "Coq 7.3.1 logical not". +alias symbol "exists" = "Coq 7.3.1 exists". +alias symbol "leq" = "Coq 7.3.1 natural 'less or equal to'". +alias symbol "lt" = "Coq 7.3.1 natural 'less than'". +alias symbol "eq" = "Coq 7.3.1 leibnitz's equality". theorem f_equal_sym: \forall A,B:Set.\forall f:A\to B.\forall x,y. x = y \to (f y) = (f x).