PROOF.w64.lo_cat: def of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/PROOF.bend as PROOF
Lines 537-547 of bend-osdev-algo@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&start_line=537&end_line=547

import Base
import bend-osdev-word64@0.1.0.0/word64.bend as W

def w64.lo_cat(m: Nat, +n: Nat, l: Word(m), +h: Word(n)) -> {W.W64.bits.lo(m, n, W.W64.bits.cat(m, n, l, h)) == l : Word(m)}:
  match m:
    case 0n:
      match l:
        case WNil{}:
          {==}
    case 1n+ +p:
      match l:
        case WCon{+b, +t}:
          %w64.lo_cat(p, n, t, h) : {WCon{b, W.W64.bits.lo(p, n, W.W64.bits.cat(p, n, t, h))} == WCon{b, _} : Word(1n+p)}
          {==}

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Nil
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64.bits.cat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64.bits.lo