Fixprime.prime_of: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend as Fixprime
Lines 80-81 of bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend&start_line=80&end_line=81

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/number.bend as SN
import bend-collections-laws-math@1.0.0.0/src/math/number.bend as NB
import bend-collections-laws-math@1.0.0.0/proofs/math/number/prime.bend as PR

def prime_of(+m: U32, +pr: Bool, +hpr: {NB.is_prime(v(m)) == pr : Bool}) -> {SN.prime(v(m)) == pr : Bool}:
  Equal.trans(Bool, SN.prime(v(m)), NB.is_prime(v(m)), pr, Equal.sym(Bool, NB.is_prime(v(m)), SN.prime(v(m)), PR.is_prime_value(v(m))), hpr)

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/number/fixprime.bend&name=v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/number/prime.bend&name=is_prime_value
  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/number.bend&name=is_prime