`CorticalLayer`

definition

show as: view math explainer →

module: IndisputableMonolith.CrossDomain.CubeFaceUniversality
domain: CrossDomain
line: 39 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.CrossDomain.CubeFaceUniversality on GitHub at line 39.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

used by

formal source

  36  | electron | muon | tau | nuE | nuMu | nuTau
  37  deriving DecidableEq, Repr, BEq, Fintype
  38
  39inductive CorticalLayer where
  40  | l1 | l2 | l3 | l4 | l5 | l6
  41  deriving DecidableEq, Repr, BEq, Fintype
  42
  43inductive BraakStage where
  44  | b1 | b2 | b3 | b4 | b5 | b6
  45  deriving DecidableEq, Repr, BEq, Fintype
  46
  47inductive RoboticDOF where
  48  | x | y | z | rollAxis | pitchAxis | yawAxis
  49  deriving DecidableEq, Repr, BEq, Fintype
  50
  51theorem quark_has_6 : HasCubeFaceCount Quark := by
  52  unfold HasCubeFaceCount; decide
  53theorem lepton_has_6 : HasCubeFaceCount Lepton := by
  54  unfold HasCubeFaceCount; decide
  55theorem cortical_has_6 : HasCubeFaceCount CorticalLayer := by
  56  unfold HasCubeFaceCount; decide
  57theorem braak_has_6 : HasCubeFaceCount BraakStage := by
  58  unfold HasCubeFaceCount; decide
  59theorem robotic_has_6 : HasCubeFaceCount RoboticDOF := by
  60  unfold HasCubeFaceCount; decide
  61
  62/-- The cube-face identity: 6 = 2 × 3 = face-binary × spatial-dim. -/
  63theorem cube_face_identity : (6 : ℕ) = 2 * 3 := by decide
  64
  65/-- Q₃ Euler: V - E + F = 8 - 12 + 6 = 2. -/
  66theorem q3_euler : (8 : ℤ) - 12 + 6 = 2 := by decide
  67
  68/-- Any two cube-face domains are equicardinal. -/
  69theorem cube_face_equicardinal

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.