Nat.internal_div_le_add_cancel: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 895-900 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=895&end_line=900

import Base

def internal_div_le_add_cancel(t: Nat, +x: Nat, +y: Nat) -> {Nat.is_le(x, y) == Nat.is_le(Nat.add(t, x), Nat.add(t, y)) : Bool}:
  match t:
    case 0n:
      {==}
    case 1n+tp:
      internal_div_le_add_cancel(tp, x, y)

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.is_le