Marginal Product K Pos

Documentation

Lean 4 Proof

theorem marginalProductK_pos {A α ρ K L : ℝ} (hA : 0 < A)
    (hα : 0 < α) (hα1 : α < 1) (hK : 0 < K) (hL : 0 < L) :
    0 < marginalProductK A α ρ K L := by
  simp only [marginalProductK]
  apply mul_pos
  · apply mul_pos
    · exact mul_pos hA hα
    · exact rpow_pos_of_pos hK _
  · exact rpow_pos_of_pos (cesInner_pos hα hα1 hK hL) _

Dependency Graph

Module Section

Two-Factor CES Production Function (Layer 1 of Macro Extension)