Proof.greatest: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/natural/proof.bend as Proof
Lines 45-46 of bend-collections-laws-math@1.0.0.0/proofs/math/natural/proof.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/proof.bend&start_line=45&end_line=46

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/natural.bend as S
import bend-collections-laws-math@1.0.0.0/proofs/math/natural/gcd.bend as G

def greatest(+a: Nat, +b: Nat, +d: Nat, +ka: Nat, +kb: Nat, +ea: {a == Nat.mul(ka, d) : Nat}, +eb: {b == Nat.mul(kb, d) : Nat}) -> S.Gcd.greatest(a, b, d, ka, kb, ea, eb):
  (G.dw(b, a, b, ka, kb), G.dvd_gcd(a, b, d, ka, kb, ea, eb))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/gcd.bend&name=dvd_gcd
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/gcd.bend&name=dw
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/natural.bend&name=Gcd.greatest