Order.internal_nat_le_total: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/order.bend as Order
Lines 87-97 of bend-mathlib@0.8.1.0/order.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/order.bend&start_line=87&end_line=97

import Base

# Nat calls of the laws above: --verdict takes a ~ constant's model from a call of its law (PLAN F38).
def internal_nat_le_total(a: Nat, b: Nat) -> {Bool.or(Nat.is_le(a, b), Nat.is_le(b, a)) == True{} : Bool}:
  match a b:
    case 0n 0n:
      {==}
    case 0n 1n+q:
      {==}
    case 1n+p 0n:
      {==}
    case 1n+p 1n+q:
      internal_nat_le_total(p, q)

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=Bool.or
  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