Fixed.NextPrime.found: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend as Fixed
Lines 198-200 of bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend&start_line=198&end_line=200

import Base
import bend-collections-laws-math@1.0.0.0/src/math/fixed.bend as F
import bend-collections-laws-math@1.0.0.0/spec/math/number.bend as SN

# a found p is a prime above n, and none lies strictly between them
def NextPrime.found(+n: U32, +p: U32, +h: {F.u32_next_prime(n) == Some{p} : Maybe<&2, U32>}) -> Type:
  {Bool.and(Bool.and(Nat.is_lt(U32.to_nat(n), U32.to_nat(p)), SN.prime(U32.to_nat(p))), no_prime(Nat.sub(U32.to_nat(p), 1n+U32.to_nat(n)), 1n+U32.to_nat(n))) == True{} : Bool}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend&name=no_prime
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/number.bend&name=prime
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/fixed.bend&name=u32_next_prime