`three_point_affine_log_closure`

proved

show as: view math explainer →

module: IndisputableMonolith.Masses.GapFunctionForcing
domain: Masses
line: 236 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Masses.GapFunctionForcing on GitHub at line 236.

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

 233  collapses_to_gap : ∀ Z : ℤ, gapAffineLog a b c Z = RSBridge.gap Z
 234
 235/-- Build the closure certificate from three-point calibration data. -/
 236theorem three_point_affine_log_closure
 237    {a b c : ℝ}
 238    (hb : 1 < b)
 239    (h0 : gapAffineLogR a b c 0 = 0)
 240    (h1 : gapAffineLogR a b c 1 = 1)
 241    (hneg1 : gapAffineLogR a b c (-1) = -2) :
 242    ThreePointAffineLogClosure (a := a) (b := b) (c := c) := by
 243  have hparams : b = phi ∧ a = 1 / Real.log phi ∧ c = 0 :=
 244    affine_log_parameters_forced_by_three_point_calibration hb h0 h1 hneg1
 245  refine ⟨hparams.1, hparams.2.1, hparams.2.2, ?_⟩
 246  exact affine_log_collapses_from_three_point_calibration hb h0 h1 hneg1
 247
 248end
 249end GapFunctionForcing
 250end Masses
 251end IndisputableMonolith

papers checked against this theorem

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