PROOFOrder.wd.eq: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF_order.bend as PROOFOrder
Lines 191-202 of bend-osdev-u32@0.1.0.0/PROOF_order.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&start_line=191&end_line=202

import Base

def wd.eq(n: Nat, a: Word(n), b: Word(n), +e: {Word.cmp(n, a, b) == EQ{} : Cmp}) -> {a == b : Word(n)}:
  match n:
    case 0n:
      match a b:
        case WNil{} WNil{}:
          {==}
    case 1n+ +p:
      match a b:
        case WCon{+x, +at} WCon{+y, +bt}:
          %wd.eq(p, at, bt, wd.fin_eq_tail(Word.cmp(p, at, bt), x, y, e)) : {WCon{x, at} == WCon{y, _} : Word(1n+p)}
          %wd.fin_eq_head(Word.cmp(p, at, bt), x, y, e) : {WCon{x, at} == WCon{_, at} : Word(1n+p)}
          {==}

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  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=Base/base.bend&name=Word.cmp
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=wd.fin_eq_head
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=wd.fin_eq_tail