PROOF.un.word_eq: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 460-469 of bend-osdev-u32@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&start_line=460&end_line=469

import Base

def un.word_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}:
          un.wcon_eq(p, x, y, at, bt, un.fin_eq_head(Word.cmp(p, at, bt), x, y, e), un.word_eq(p, at, bt, un.fin_eq_tail(Word.cmp(p, at, bt), x, y, e)))

Uses (9):
  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.bend&name=un.fin_eq_head
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.fin_eq_tail
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.wcon_eq