ProofValue.wn.lt_add_l: def of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/proof_value.bend as ProofValue
Lines 156-162 of bend-osdev-word64@0.1.1.0/proof_value.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&start_line=156&end_line=162

import Base

# k + x < k + y, k + x <= k + y, cmp(k + x, k + y): as for x and y
def wn.lt_add_l(k: Nat, -x: Nat, -y: Nat) -> {Nat.is_lt(Nat.add(k, x), Nat.add(k, y)) == Nat.is_lt(x, y) : Bool}:
  match k:
    case 0n:
      {==}
    case 1n+p:
      wn.lt_add_l(p, x, y)

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_lt