PROOF.shift_ok.go: def of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 352-359 of lawful-bytes@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/PROOF.bend&start_line=352&end_line=359

import Base
import lawful-bytes@0.1.1.0/defs.bend as D
import lawful-bytes@0.1.1.0/bytes.bend as B
import lawful-bytes@0.1.1.0/proof_core.bend as C
import lawful-bytes@0.1.1.0/proof_shift.bend as H

def shift_ok.go(-b: D.Bytes, +d: Nat, +k: U32, h: {D.ok(b, d) == True{} : Bool}, hk: {Nat.is_le(U32.to_nat(k), D.size(b)) == True{} : Bool}, m_b: C.BMirror(b)) ->
  {D.ok(B.shift(b, k), d) == True{} : Bool}:
  (+l_b, m2_b) = m_b
  (+t_b, +e_b) = m2_b
  %e_b : {D.ok(B.shift(_, k), d) == True{} : Bool}
  +h_t = C.tr(x => {D.ok(x, d) == True{} : Bool}, b, l_b, t_b, e_b, h)
  +hk_t = C.tr(x => {Nat.is_le(U32.to_nat(k), D.size(x)) == True{} : Bool}, b, l_b, t_b, e_b, hk)
  H.shift_ok_t(l_b, t_b, d, k, h_t, hk_t)

Uses (13):
  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=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/bytes.bend&name=shift
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=Bytes
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=ok
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=size
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_core.bend&name=BMirror
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_core.bend&name=tr
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_shift.bend&name=shift_ok_t