def sel_txor

bend-osdev-gf@0.1.1.0 · PROOF.bend:363

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

363def 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}:
364  match s t:
365    case True{} True{}:
366      Equal.sym(G.Gf8Bits, G.Gf8Bits.xor(b, b), G.Gf8Bits.zero(), rx_self(b))
367    case True{} False{}:
368      Equal.sym(G.Gf8Bits, G.Gf8Bits.xor(b, G.Gf8Bits.zero()), b, rx_zr(b))
369    case False{} True{}:
370      Equal.sym(G.Gf8Bits, G.Gf8Bits.xor(G.Gf8Bits.zero(), b), b, rx_zl(b))
371    case False{} False{}:
372      {==}