pith. machine review for the scientific record. sign in
structure

WorkingMemoryFromCubeCert

definition
show as:
view math explainer →
module
IndisputableMonolith.CrossDomain.WorkingMemoryFromCube
domain
CrossDomain
line
53 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.CrossDomain.WorkingMemoryFromCube on GitHub at line 53.

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

depends on

used by

formal source

  50theorem miller_bracket : 5 ≤ canonicalSpan ∧ canonicalSpan ≤ 9 := by
  51  unfold canonicalSpan; decide
  52
  53structure WorkingMemoryFromCubeCert where
  54  canonical : canonicalSpan = 2 ^ 3 - 1
  55  reduced_to_5 : spanAt 2 = 3  -- collapse one dimension
  56  reduced_to_3 : spanAt 1 = 1  -- collapse two
  57  super_normal : spanAt 4 = 15  -- add one dimension
  58  miller_bracket : 5 ≤ canonicalSpan ∧ canonicalSpan ≤ 9
  59  monotone : ∀ d, spanAt d < spanAt (d + 1)
  60
  61def workingMemoryFromCubeCert : WorkingMemoryFromCubeCert where
  62  canonical := canonicalSpan_eq
  63  reduced_to_5 := span_at_2
  64  reduced_to_3 := span_at_1
  65  super_normal := span_at_4
  66  miller_bracket := miller_bracket
  67  monotone := span_strict_mono
  68
  69end IndisputableMonolith.CrossDomain.WorkingMemoryFromCube