Effective Multiplier Nonneg

theorem proved Macroeconomics

Documentation

Lean 4 Proof

theorem effectiveMultiplier_nonneg {J : ℕ} (hJ : 2 ≤ J) {ρ : ℝ} (hρ : ρ < 1)
    {T Tstar d_sq : ℝ} (hd : 0 ≤ d_sq) :
    0 ≤ effectiveMultiplier J ρ T Tstar d_sq := by
  simp only [effectiveMultiplier]
  exact mul_nonneg (effectiveCurvatureKeff_nonneg hJ hρ T Tstar) hd

Dependency Graph

Location

thesis/CESProofs/Potential/MacroApplications.lean:72

Module Section

Macroeconomic Applications of the CES Potential

In the same file

cesMultiplier cesMultiplier_pos cesMultiplier_decreasing_in_rho effectiveMultiplier effectiveMultiplier_decreasing_in_T effectiveMultiplier_zero_at_critical fiscal_multiplier_heterogeneity recession_depth_proportional_to_K sectoral_recession_ordering allocationDistortion allocationDistortion_nonneg allocationDistortion_at_zero allocationDistortion_at_critical allocationDistortion_monotone stagflation recession_dual_degradation