NatProofs.lt_le: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as NatProofs
Lines 107-114 of bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend&start_line=107&end_line=114

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape

def lt_le(+a: Nat, +b: Nat, bound: Shape.LT(a, 1n+b)) -> Shape.LE(a, b):
  match a b:
    case 0n b:
      Unit{}
    case 1n+p 0n:
      Empty.absurd(Empty, lt_zero(p, bound))
    case 1n+p 1n+q:
      lt_le(p, q, bound)

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty
  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=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=LE
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=LT
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend&name=lt_zero