OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/ContactSourceGrid.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Every edge of the actual signed square-lattice source has a canonical geometric strip, and the source's simple-edge promise makes these strips pairwise distinct.

  1. theorem OAI.ContinuumCoulomb.natAbs_one_cases line 13
  2. theorem OAI.ContinuumCoulomb.exists_contactGridEdge line 16
  3. theorem OAI.ContinuumCoulomb.ContactGridEdge.same_key_endpoints line 40
  4. def OAI.ContinuumCoulomb.SquareLatticeHeisenberg.contactEdge line 49
  5. theorem OAI.ContinuumCoulomb.SquareLatticeHeisenberg.contactEdge_left line 53
  6. theorem OAI.ContinuumCoulomb.SquareLatticeHeisenberg.contactEdge_right line 57
  7. theorem OAI.ContinuumCoulomb.SquareLatticeHeisenberg.contactEdge_key_injective line 63

    Source documentation

    Distinct source edges cannot share a canonical strip, even when their listed orientations are opposite.

    theorem SquareLatticeHeisenberg.contactEdge_key_injective (F : SquareLatticeHeisenberg) :
    Function.Injective (fun e => (F.contactEdge e).key) := by
…

    Mentions: OAI.ContinuumCoulomb.SquareLatticeHeisenberg