ProofShift.ns.sub_sub: def of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/proof_shift.bend as ProofShift
Lines 62-65 of bend-osdev-word64@0.1.1.0/proof_shift.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.0/proof_shift.bend&start_line=62&end_line=65

import Base
import bend-osdev-word64@0.1.1.0/proof_value.bend as P

# k <= n: n - (n - k) = k
def ns.sub_sub(+k: Nat, +n: Nat, h: {Nat.is_le(k, n) == True{} : Bool}) -> {Nat.sub(n, Nat.sub(n, k)) == k : Nat}:
  %ns.add_sub_le(k, n, h) : {Nat.sub(_, Nat.sub(n, k)) == k : Nat}
  P.wn.sub_add(k, Nat.sub(n, 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.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_shift.bend&name=ns.add_sub_le
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&name=wn.sub_add