OAI/Probability/InvariantIsing/Core/FiniteVariationalBounds.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Finiteness and finite-entropy approximate minimizers of the finite-spectrum variational problem. These justify taking the infimum in the pressure bound.

  1. theorem OAI.InvariantIsing.finiteSpectralFunctional_abs_le line 15
  2. theorem OAI.InvariantIsing.finiteVariational_mem_interval line 26
  3. theorem OAI.InvariantIsing.finiteVariational_ne_top_bot line 47
  4. theorem OAI.InvariantIsing.exists_finiteEntropy_trial_near_finiteVariational line 58