PROOF.h.wcmp_refl: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1753-1762 of bend-kit-collections@0.1.4.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&start_line=1753&end_line=1762

import Base
import bend-mathlib@0.7.4.0/bool.bend as MBool

# U32 equality is Word equality, so is_eq is reflexive and sound.
def h.wcmp_refl(n: Nat, w: Word(n)) -> {Word.cmp(n, w, w) == EQ{} : Cmp}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      match w:
        case WCon{+b, +t}:
          %Equal.sym(Cmp, Word.cmp(p, t, t), EQ{}, h.wcmp_refl(p, t)) : {Word.cmp.fin(b, b, _) == EQ{} : Cmp}
          MBool.cmp_refl(b)

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=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.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.cmp.fin
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=cmp_refl