lemma
proved
kappa_einstein_pos
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.Constants on GitHub at line 459.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
used by
formal source
456 rw [Real.rpow_neg phi_pos.le]
457 field_simp [phi_ne_zero]
458
459lemma kappa_einstein_pos : 0 < kappa_einstein := by
460 unfold kappa_einstein
461 apply div_pos
462 · apply mul_pos
463 · apply mul_pos
464 · norm_num
465 · exact Real.pi_pos
466 · exact G_pos
467 · exact pow_pos c_pos 4
468
469/-!
470 ## CODATA / SI constants (quarantined)
471
472 The empirical SI/CODATA numeric constants live in
473 `IndisputableMonolith/Constants/Codata.lean` and are intentionally **excluded**
474 from the certified surface import-closure.
475
476 If you need them for numeric comparisons or empirical reports, import
477 `IndisputableMonolith.Constants.Codata` explicitly.
478-/
479
480/-- Minimal RS units used in Core. -/
481structure RSUnits where
482 tau0 : ℝ
483 ell0 : ℝ
484 c : ℝ
485 c_ell0_tau0 : c * tau0 = ell0
486
487/-- Dimensionless bridge ratio \(K\).
488
489Defined (non-circularly) as \(K = \varphi^{1/2}\). -/