Arith.le_sd: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
Lines 168-177 of bendtorch-core@0.1.0.0/src/storage/arith.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&start_line=168&end_line=177

import Base

def le_sd(+u: Nat, +v: Nat, h: {Nat.is_le(1n+Nat.double(u), Nat.double(v)) == True{} : Bool}) -> {Nat.is_le(1n+u, v) == True{} : Bool}:
  match u v:
    case 0n 0n:
      Empty.absurd({Nat.is_le(1n, 0n) == True{} : Bool}, clash(h))
    case 0n 1n+q:
      le_zero(q)
    case 1n+p 0n:
      Empty.absurd({Nat.is_le(2n+p, 0n) == True{} : Bool}, clash(h))
    case 1n+p 1n+q:
      le_sd(p, q, h)

Uses (7):
  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.double
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=le_zero