NatProofs.le_add_left: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as NatProofs
Lines 31-38 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=31&end_line=38

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

def le_add_left(+a: Nat, -x: Nat, +c: Nat, bound: Shape.LE(Nat.add(a, x), c)) -> Shape.LE(a, c):
  match a c:
    case 0n c:
      Unit{}
    case 1n+p 0n:
      match bound:
    case 1n+p 1n+q:
      le_add_left(p, x, q, bound)

Uses (4):
  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=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=LE