PROOF.wq.shln: def of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/PROOF.bend as PROOF
Lines 193-199 of bend-osdev-word64@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.0/PROOF.bend&start_line=193&end_line=199

import Base
import bend-osdev-word64@0.1.1.0/proof_shift.bend as PS

def wq.shln(+w: Word(32n), k: Nat) -> {U32.shln(U32{w}, k) == U32{PS.ws.shl(32n, k, w)} : U32}:
  match k:
    case 0n:
      {==}
    case 1n+ +p:
      %Equal.sym(U32, U32.shln(U32{w}, p), U32{PS.ws.shl(32n, p, w)}, wq.shln(w, p)) : {U32.shl(_) == U32{PS.ws.shl(32n, 1n+p, w)} : U32}
      {==}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Base/base.bend&name=U32.shl
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shln
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_shift.bend&name=ws.shl