OAI/Probability/InvariantIsing/Cavity/RepeatedBlockPrior.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Repeated identical cavity constraints admit every even permutation of their blocks. No coordinate sign flip is introduced.

  1. def OAI.InvariantIsing.spinBlockConstraint line 14
  2. lemma OAI.InvariantIsing.mem_spinBlockConstraint line 17
  3. lemma OAI.InvariantIsing.spinBlockConstraint_nonempty line 22
  4. def OAI.InvariantIsing.spinBlockSitePermutation line 30
  5. lemma OAI.InvariantIsing.spinBlockSitePermutation_apply line 33
  6. lemma OAI.InvariantIsing.spinBlockSitePermutation_sign line 38
  7. lemma OAI.InvariantIsing.spinBlockSitePermutation_flip line 43
  8. lemma OAI.InvariantIsing.spinBlockConstraint_permutation line 49
  9. theorem OAI.InvariantIsing.repeatedBlockPrior_permutation line 71
  10. lemma OAI.InvariantIsing.even_block_permutation line 83