theorem ngmEntry_real_pos {beta_n sigma_n J_n Fbar_n sigma_prev : ℝ}
(hb : 0 < beta_n) (hs : 0 < sigma_n) (hJ : 0 < J_n)
(hF : 0 < Fbar_n) (hsp : 0 < sigma_prev) :
0 < ngmEntry_real beta_n sigma_n J_n Fbar_n sigma_prev := by
simp only [ngmEntry_real]
exact div_pos (by positivity) hsp## Entry-Exit Core Definitions (merged from EntryExitDefs.lean)