PROOF.sel_txor: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 363-372 of bend-osdev-gf@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&start_line=363&end_line=372

import Base
import bend-osdev-gf@0.1.1.0/gf.bend as G

def sel_txor(+s: Bool, +t: Bool, +b: G.Gf8Bits) -> {G.Gf8Bits.sel(Bool.xor(s, t), b) == G.Gf8Bits.xor(G.Gf8Bits.sel(s, b), G.Gf8Bits.sel(t, b)) : G.Gf8Bits}:
  match s t:
    case True{} True{}:
      Equal.sym(G.Gf8Bits, G.Gf8Bits.xor(b, b), G.Gf8Bits.zero(), rx_self(b))
    case True{} False{}:
      Equal.sym(G.Gf8Bits, G.Gf8Bits.xor(b, G.Gf8Bits.zero()), b, rx_zr(b))
    case False{} True{}:
      Equal.sym(G.Gf8Bits, G.Gf8Bits.xor(G.Gf8Bits.zero(), b), b, rx_zl(b))
    case False{} False{}:
      {==}

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.xor
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=rx_self
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=rx_zl
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=rx_zr
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.sel
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.zero