#lang typed/racket

(define (a (n : Exact-Nonnegative-Integer)) : Exact-Nonnegative-Integer
 (if (even? n) (add1 n) (sub1 n)))

(define (b (n : Exact-Nonnegative-Integer)) : Exact-Nonnegative-Integer
 ((if (even? n) add1 sub1) n))

Function a goes well,
but function b gives an error during expansion:

Type Checker: type mismatch
  expected: Nonnegative-Integer
  given: Integer in: ((if (even? n) add1 sub1) n)

Apparently the type checker deduces that in function a,
sub1 will not be applied to zero.
Why it can't also detect this for function b?

Thanks, Jos

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