U32.internal_fin_wrap: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 280-290 of bend-mathlib@0.8.1.0/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/u32.bend&start_line=280&end_line=290

import Base
import bend-mathlib@0.8.1.0/nat.bend as MNat

def internal_fin_wrap(+e: Nat, -s: Nat, +m: Nat, o: Bool, eq: {Nat.add(e, Bool.pick(Nat, o, m, 0n)) == s : Nat}, h: MNat.lt(e, m)) -> {e == Nat.mod(s, m) : Nat}:
  match o:
    case False{}:
      %eq : {e == Nat.mod(_, m) : Nat}
      %MNat.add_zero_sym(e) : {e == Nat.mod(_, m) : Nat}
      Equal.sym(Nat, Nat.mod(e, m), e, MNat.mod_eq_of_lt(e, m, h))
    case True{}:
      %eq : {e == Nat.mod(_, m) : Nat}
      %MNat.add_comm(m, e) : {e == Nat.mod(_, m) : Nat}
      %MNat.add_mod_left_sym(e, m) : {e == _ : Nat}
      Equal.sym(Nat, Nat.mod(e, m), e, MNat.mod_eq_of_lt(e, m, h))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.pick
  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.mod
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=add_comm
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=add_mod_left_sym
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=add_zero_sym
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mod_eq_of_lt