LAWS.tab_exp_aes: law of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/LAWS.bend as LAWS
Lines 168-171 of bend-osdev-gf@0.1.1.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/LAWS.bend&start_line=168&end_line=171

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

law tab_exp_aes:
  for +i: U32
  for +hi: {Nat.is_lt(U32.to_nat(i), 510n) == True{} : Bool}
  {T.Gf8Tab.exp(T.Gf8Tab.new(G.Gf8.aes()), i) == (T.Gf8Tab.new(G.Gf8.aes()), G.Gf8.exp(G.Gf8.aes(), U32.to_nat(i))) : T.Gf8Tab & U32}

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=tl.exp
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.aes
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.exp
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/proof_tab_cases.bend&name=gc.aes.llist
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/proof_tab_cases.bend&name=gc.aes.new
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/tables.bend&name=Gf8Tab
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/tables.bend&name=Gf8Tab.exp
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/tables.bend&name=Gf8Tab.new