{"fqn":"KLean.Bio.ProtonForce.pmf_linear_in_potential","short":"pmf_linear_in_potential","module":"KLean.Bio.ProtonForce.PmfLinearInPotential","path":"KLean/Bio/ProtonForce/PmfLinearInPotential.lean","claim":"PMF is linear in membrane potential","verified":null,"axiom_level":"kernel-standard","olean_sha256":null,"quarantined":false,"statement":"theorem pmf_linear_in_potential (ΔΨ₁ ΔΨ₂ T ΔpH : ℝ) (h : ΔΨ₁ ≤ ΔΨ₂) : pmf ΔΨ₁ T ΔpH ≤ pmf ΔΨ₂ T ΔpH","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.ProtonForce.Base","KLean.Bio.ProtonForce.PmfPosOfDominantPotential","KLean.Misc.Basic"],"used_by":["KLean.Bio.ProtonForce"],"compute":"/api/v1/klean/compute/proton_motive_force","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}