PROOF.g_zerosu: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 550-556 of bend-osdev-bytes@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&start_line=550&end_line=556

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B

def g_zerosu(+n: Nat, +acc: List<&2, U32>) -> {B.zeros.go(n, acc) == List.append(&2, U32, B.zeros(n), acc) : List<&2, U32>}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      Equal.trans(List<&2, U32>, B.zeros.go(p, Con{0, acc}), List.append(&2, U32, B.zeros(p), Con{0, acc}), Con{0, List.append(&2, U32, B.zeros(p), acc)},
        g_zerosu(p, Con{0, acc}), zeros_consu(p, acc))

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=zeros_consu
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=zeros
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=zeros.go