Sections / Section 14: Macro -- Two-Factor CES, Growth, Tax / afterTaxReturn_pos

After Tax Return Pos

theoremprovedMacroeconomics

Documentation

Lean 4 Proof

theorem afterTaxReturn_pos {τ_K r : ℝ} (hr : 0 < r) (hτ : τ_K < 1) :
    0 < afterTaxReturn τ_K r := by
  simp only [afterTaxReturn]; nlinarith

Dependency Graph

Location

thesis/CESProofs/Macro/Accumulation.lean:197

Module Section

Accumulation Dynamics (Layer 2 of Macro Extension)

In the same file

capitalAccumulation eulerConsumptionGrowth afterTaxReturn steadyStateKY eulerSteadyStateReturn eulerSteadyStateMPK steadyStateConsumption capitalAccumulation_eq_zero_iff steadyState_KY_eq steadyStateKY_pos steadyStateKY_increasing_in_s steadyStateKY_decreasing_in_δ eulerConsumptionGrowth_eq_zero_iff eulerSteadyState_r_eq eulerSteadyStateReturn_pos eulerSteadyStateReturn_increasing_in_τ eulerConsumptionGrowth_pos_iff afterTaxReturn_decreasing afterTaxReturn_zero_tax afterTaxReturn_full_tax