Api.le_add_left: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/storage/api.bend as Api
Lines 152-157 of bendtorch-core@0.1.0.0/src/storage/api.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&start_line=152&end_line=157

import Base
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def le_add_left(+f: Nat, +k: Nat) -> {Nat.is_le(k, Nat.add(f, k)) == True{} : Bool}:
  match f:
    case 0n:
      le_refl(k)
    case 1n+q:
      Arith.le_succ(k, Nat.add(q, k), le_add_left(q, k))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=le_refl
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=le_succ