Nat.internal_div_le_self_eq: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 1968-1971 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=1968&end_line=1971

import Base

def internal_div_le_self_eq(+q: Nat, +bp: Nat, +m: Nat, -a: Nat, e: {Nat.add(Nat.mul(q, 1n+bp), m) == a : Nat}) -> {Nat.add(q, Nat.add(Nat.mul(bp, q), m)) == a : Nat}:
  %e : {Nat.add(q, Nat.add(Nat.mul(bp, q), m)) == _ : Nat}
  %mul_comm(1n+bp, q) : {Nat.add(q, Nat.add(Nat.mul(bp, q), m)) == Nat.add(_, m) : Nat}
  Equal.sym(Nat, Nat.add(Nat.add(q, Nat.mul(bp, q)), m), Nat.add(q, Nat.add(Nat.mul(bp, q), m)), add_assoc(q, Nat.mul(bp, q), m))

Uses (6):
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=add_assoc
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mul_comm