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# successor fn (SuccessorFn)

A UnaryFunction that maps an Integer to its successor, e.g. the successor of 5 is 6.

## Ontology

SUMO / NUMERIC-FUNCTIONS

## Class(es)

 varga

inheritable relation

successor fn

## Coordinate term(s)

absolute value fn  abstraction fn  arc cosine fn  arc sine fn  arc tangent fn  back fn  begin fn  begin node fn  cardinality fn  ceiling fn  complement fn  cosine fn  cut set fn  denominator fn  end fn  end node fn  extension fn  floor fn  front fn  future fn  generalized intersection fn  generalized union fn  giga fn  imaginary part fn  immediate future fn  immediate past fn  initial node fn  integer square root fn  kilo fn  list length fn  magnitude fn  mega fn  micro fn  milli fn  minimal cut set fn  nano fn  numerator fn  organization fn  past fn  path weight fn  pico fn  power set fn  predecessor fn  principal host fn  probability fn  property fn  rational number fn  real number fn  reciprocal fn  round fn  signum fn  sine fn  skin fn  square root fn  tangent fn  tera fn  terminal node fn  wealth fn  when fn  year fn

## Type restrictions

pUrNaanka SuccessorFn(pUrNaanka)

## Axioms (8)

""(,item)" kii lambaaaii" is equal to "(""()" kii lambaaaii"+1)".
```(equal
(ListLengthFn
(ListFn @ROW ?ITEM))
(SuccessorFn
(ListLengthFn
(ListFn @ROW))))```

Agar "list1 kii lambaaaii" is equal to number, to yah kuch list2 nahin, ki list1 starts list2 aur "(number+1)" is equal to "list2 kii lambaaaii" aur ""(number+1)"th element of list2" is equal to item.
```(=>
(equal
(ListLengthFn ?LIST1)
?NUMBER)
(exists
(?LIST2)
(and
(initialList ?LIST1 ?LIST2)
(equal
(SuccessorFn ?NUMBER)
(ListLengthFn ?LIST2))
(equal
(ListOrderFn
?LIST2
(SuccessorFn ?NUMBER))
?ITEM))))```

"(number+1)" is equal to "(number+)".
```(equal
(SuccessorFn ?NUMBER)

Agar "(int1+1)" is equal to "(int2+1)", to int1 is equal to int2.
```(=>
(equal
(SuccessorFn ?INT1)
(SuccessorFn ?INT2))
(equal ?INT1 ?INT2))```

Agar int is an instance of pUrNaanka, to int is less than "(int+1)".
```(=>
(instance ?INT Integer)
(lessThan
?INT
(SuccessorFn ?INT)))```

Agar int1 is an instance of pUrNaanka aur int2 is an instance of pUrNaanka, to int1 is not less than int2 yaa int2 is not less than "(int1+1)".
```(=>
(and
(instance ?INT1 Integer)
(instance ?INT2 Integer))
(not
(and
(lessThan ?INT1 ?INT2)
(lessThan
?INT2
(SuccessorFn ?INT1)))))```

Agar int is an instance of pUrNaanka, to int is equal to "("(int+2)"+1)".
```(=>
(instance ?INT Integer)
(equal
?INT
(SuccessorFn
(PredecessorFn ?INT))))```

Agar int is an instance of pUrNaanka, to int is equal to "("(int+1)"+2)".
```(=>
(instance ?INT Integer)
(equal
?INT
(PredecessorFn
(SuccessorFn ?INT))))```