ProofFastW2.e_hi: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_fast_w2.bend as ProofFastW2
Lines 253-262 of lawful-bytes@0.1.1.0/proof_fast_w2.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_fast_w2.bend&start_line=253&end_line=262

import Base
import lawful-words@0.1.0.0/defs.bend as W
import lawful-bytes@0.1.1.0/fast.bend as FA

# A byte of the first word at or above the start: the test of c.
law e_hi:
  for +w: U32
  for +c: U32
  for +m: U32
  for +j: Nat
  for +hc: {U32.is_lt(c, 256) == True{} : Bool}
  for +hj: {Nat.is_lt(j, 4n) == True{} : Bool}
  for +hm: {W.byte(m, j) == 0 : U32}
  {U32.is_eq(W.byte(U32.or(U32.xor(w, FA.rep(c)), m), j), 0) == U32.is_eq(W.byte(w, j), c) : Bool}

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.or
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.xor
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/fast.bend&name=rep
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_fast_w2.bend&name=ej_xor
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_fast_w2.bend&name=or0r
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/defs.bend&name=byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=byte_or