Final.fin_k: law of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final.bend as Final
Lines 372-381 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final.bend&start_line=372&end_line=381

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C

law fin_k:
  for +k: Nat
  for +a: Nat
  for +b: Nat
  for +c: Nat
  for +m: Nat
  for +e1: {a == b : Nat}
  for +e2: {b == C.low(k, c) : Nat}
  for +e3: {m == c : Nat}
  {a == C.low(k, m) : Nat}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend&name=sy
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend&name=tr
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=low