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Axiomatisation of a numerical set
It will be instantiated by Z and R later on We choose to introduce many operation to allow flexibility in definition ( |
Parameter N:Type.
Parameter zero:N.
Parameter one:N.
Parameter add:N->N->N.
Parameter S:N->N.
| Relations |
Parameter eq,lt,le,gt,ge:N->N->Prop.
Definition neq [x,y:N] := (eq x y)->False.