theorem proved term proof

`zeroDefect_eq_J_log`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  46theorem zeroDefect_eq_J_log (ρ : ℂ) :
  47    zeroDefect ρ =
  48      Foundation.DiscretenessForcing.J_log (zeroDeviation ρ) := by

proof body

Term-mode proof.

  49  simpa [zeroDefect] using
  50    (Foundation.DiscretenessForcing.J_log_eq_J_exp (zeroDeviation ρ)).symm
  51
  52/-- Expanded closed form for the zero-location defect. -/

used by (8)

From the project-wide theorem graph. These declarations reference this one in their body.

defectIterate_zero_eq_zeroDefect in IndisputableMonolith.NumberTheory.ZeroCompositionLaw decl_use
zeroDefect_eq_cosh_sub_one in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDefect_invariant_under_conjugation in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDefect_invariant_under_functional_reflection in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDefect_invariant_under_reflection in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDefect_nonneg in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDefect_pos_iff_off_critical_line in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDefect_zero_iff_on_critical_line in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use

depends on (7)

Lean names referenced from this declaration's body.

J_log in IndisputableMonolith.Foundation.DiscretenessForcing decl_use
J_log_eq_J_exp in IndisputableMonolith.Foundation.DiscretenessForcing decl_use
defect in IndisputableMonolith.Foundation.LawOfExistence decl_use
J_log in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge decl_use
for in IndisputableMonolith.Foundation.UniversalForcingSelfReference decl_use
zeroDefect in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use
zeroDeviation in IndisputableMonolith.NumberTheory.ZeroLocationCost decl_use