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

average_per_pattern

proved
show as:
view math explainer →
module
IndisputableMonolith.CrossDomain.MetaTheoremCount
domain
CrossDomain
line
67 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.CrossDomain.MetaTheoremCount on GitHub at line 67.

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

formal source

  64theorem patterns_match_D : patternsCovered = 5 := rfl
  65
  66/-- Each pattern produces multiple cross-domain modules. Average: 27/5 = 5.4. -/
  67theorem average_per_pattern :
  68    crossDomainModuleCount * 10 = 270 := by decide  -- 27 = 27 = 5.4 × 5
  69
  70structure MetaTheoremCountCert where
  71  count : crossDomainModuleCount = 27
  72  count_is_cube : crossDomainModuleCount = 3^3
  73  patterns_covered : patternsCovered = 5
  74  count_in_spectrum_range :
  75    25 ≤ crossDomainModuleCount ∧ crossDomainModuleCount ≤ 45
  76
  77def metaTheoremCountCert : MetaTheoremCountCert where
  78  count := count_eq
  79  count_is_cube := count_is_D_cubed
  80  patterns_covered := patterns_match_D
  81  count_in_spectrum_range := count_in_spectrum
  82
  83end IndisputableMonolith.CrossDomain.MetaTheoremCount

papers checked against this theorem

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