Nat.le_add_left: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as Nat
Lines 331-336 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&start_line=331&end_line=336

import Base

def le_add_left(+a: Nat, +b: Nat, +c: Nat, e: {Nat.is_le(a, b) == True{} : Bool}) -> {Nat.is_le(Nat.add(c, a), Nat.add(c, b)) == True{} : Bool}:
  match c:
    case 0n:
      e
    case 1n+r:
      le_add_left(a, b, r, e)

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=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