{"fqn":"KLean.Bio.NernstEquation.nernstPotential_decreases_with_cout","short":"nernstPotential_decreases_with_cout","module":"KLean.Bio.NernstEquation","path":"KLean/Bio/NernstEquation.lean","claim":"With the convention E = E₀ − (R·T)/(n·F)·ln(c_out/c_in), the equilibrium potential *decreases* as the external concentration rises (the subtracted log term grows).","verified":true,"axiom_level":"kernel-standard","olean_sha256":"4d4c489f6d641d774fd60873addf5f1046518223d09b8922c973579e636be194","quarantined":false,"statement":"theorem nernstPotential_decreases_with_cout (E₀ T n c_out₁ c_out₂ c_in : ℝ) (hn : 0 < n) (hcin : 0 < c_in) (hcout₁ : 0 < c_out₁) (hT : 0 < T) (h : c_out₁ ≤ c_out₂) : nernstPotential E₀ T n c_out₂ c_in ≤ nernstPotential E₀ T n c_out₁ c_in","topics":["biology"],"refs":["https://doi.org/10.1515/zpch-1889-0112"],"depends_on":["KLean.Misc.Basic"],"used_by":[],"compute":"/api/v1/klean/compute/nernst_potential","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}