WordMultiplication.truncate_encode: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/word_multiplication.bend as WordMultiplication
Lines 34-42 of stelliferous@0.0.2.0/proofs/word_multiplication.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/word_multiplication.bend&start_line=34&end_line=42

import Base
import stelliferous@0.0.2.0/proofs/word_arithmetic.bend as WordArithmetic

def truncate_encode(+a: Nat,+n: Nat) -> {truncate(n,WordArithmetic.encode(a,1n+n)) == WordArithmetic.encode(a,n) : Word(n)}:
  match a:
    case 0n:
      truncate_zero(n)
    case 1n+ +p:
      %Equal.sym(Word(n),truncate(n,Word.inc(1n+n,WordArithmetic.encode(p,1n+n))),Word.inc(n,truncate(n,WordArithmetic.encode(p,1n+n))),
        truncate_inc(n,WordArithmetic.encode(p,1n+n))) : {_ == Word.inc(n,WordArithmetic.encode(p,n)) : Word(n)}
      %truncate_encode(p,n) : {Word.inc(n,truncate(n,WordArithmetic.encode(p,1n+n))) == Word.inc(n,_) : Word(n)}
      {==}

Uses (8):
  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=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.inc
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_arithmetic.bend&name=encode
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_multiplication.bend&name=truncate
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_multiplication.bend&name=truncate_inc
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_multiplication.bend&name=truncate_zero