{L : List BandRecord} (h : LedgerWf L) {i : ℕ} (hi : i + 1 < L.length) : (L.getD i default).lo.toQ ≤ (L.getD (i + 1) default).lo.toQ ∧ (L.getD (i + 1) default).hi.toQ ≤ (L.getD i default).hi.toQ
ProvedBookProof.SirkBandLedger.ledgerWf_stepsirkspectral-theorytimepiece
Lean 4 theorem BookProof.SirkBandLedger.ledgerWf_step (module BookProof.SirkBandLedger), source chapter BookProof/ChapterSirkBandLedger.lean.
Preamble
-- Generated from ChapterSirkBandLedger.lean — theorem BookProof.SirkBandLedger.ledgerWf_step import Mathlib import Definitions.Def_ChapterSirkBandLedger open BookProof.SirkBandLedger open BookProof.SirkCertificateReader open BookProof.BandEnclosure
Formal statement
theorem BookProof.SirkBandLedger.ledgerWf_step {L : List BandRecord} (h : LedgerWf L) {i : ℕ}
(hi : i + 1 < L.length) :
(L.getD i default).lo.toQ ≤ (L.getD (i + 1) default).lo.toQ ∧
(L.getD (i + 1) default).hi.toQ ≤ (L.getD i default).hi.toQ := by sorrySource