PROOF.sp_eta: def of bend-osdev-legacy-ciphers@0.1.0.0
Import: import bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend as PROOF
Lines 1146-1150 of bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend&start_line=1146&end_line=1150

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend as P

# a layer's input rebuilt from its fields gives the same layer
def sp_eta(+bx: P.LcSpBox, +inv: Bool, -p: Nat, z: P.LcSpQ<p>) -> {P.sp.layer(bx, inv, p, z) == P.sp.layer(bx, inv, p, P.LcSpQ{P.sp.qa(p, z), P.sp.qb(p, z), P.sp.qc(p, z), P.sp.qd(p, z)}) : P.LcSpQ<p>}:
  match z:
    case P.LcSpQ{a, b, c, d}:
      {==}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=LcSpBox
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=LcSpQ
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=sp.layer
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=sp.qa
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=sp.qb
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=sp.qc
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=sp.qd