Arith.dm_e2: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/natural/arith.bend as Arith
Lines 15-17 of bend-collections-laws-math@1.0.0.0/proofs/math/natural/arith.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/arith.bend&start_line=15&end_line=17

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/word_value.bend as WV

def dm_e2(+bp: Nat, +v: Nat, g: WV.go_equation(bp, v, bp, 0n, 0n)) -> {v == Nat.add(Nat.mul(Nat.div(v, 1n+bp), 1n+bp), Nat.mod(v, 1n+bp)) : Nat}:
  (e, l) = g
  e

Uses (7):
  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.div
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod
  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/lib/lemmas/proofs/word_value.bend&name=go_equation