Nat.internal_div_le_succ_r: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 823-830 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=823&end_line=830

import Base

def internal_div_le_succ_r(j: Nat, d: Nat, h: {True{} == Nat.is_le(j, d) : Bool}) -> {True{} == Nat.is_le(j, 1n+d) : Bool}:
  match j d:
    case 0n _:
      {==}
    case 1n+i 0n:
      Empty.absurd({True{} == Nat.is_le(1n+i, 1n) : Bool}, internal_div_true_ne_false(h))
    case 1n+i 1n+e:
      internal_div_le_succ_r(i, e, h)

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=internal_div_true_ne_false