Documentation

Lean 4 Proof

theorem eulerConsumptionGrowth_decreasing_in_τ {γ τ₁ τ₂ r ρ_time : ℝ}
    (hγ : 0 < γ) (hr : 0 < r) (hτ : τ₁ < τ₂) :
    eulerConsumptionGrowth γ τ₂ r ρ_time <
    eulerConsumptionGrowth γ τ₁ r ρ_time := by
  simp only [eulerConsumptionGrowth]
  have hg : (0 : ℝ) < 1 / γ := div_pos one_pos hγ
  apply mul_lt_mul_of_pos_left _ hg
  nlinarith

Dependency Graph

Location

thesis/CESProofs/Macro/Accumulation.lean:396

Module Section

Accumulation Dynamics (Layer 2 of Macro Extension)

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