Egcd.qby: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/number/egcd.bend as Egcd
Lines 36-39 of bend-collections-laws-math@1.0.0.0/proofs/math/number/egcd.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/number/egcd.bend&start_line=36&end_line=39

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as A

# (q b) y == b (q y)
def qby(+q: Nat, +b: Nat, +y: Nat) -> {Nat.mul(Nat.mul(q, b), y) == Nat.mul(b, Nat.mul(q, y)) : Nat}:
  %Equal.sym(Nat, Nat.mul(q, b), Nat.mul(b, q), A.mul_comm(q, b)) : {Nat.mul(_, y) == Nat.mul(b, Nat.mul(q, y)) : Nat}
  A.mul_assoc(b, q, y)

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend&name=mul_assoc
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend&name=mul_comm