Ledger::write_off is a new command, so it is a new Step: Step.writeOff, whose two lines are a tagged control line (the receivable falls) and an untagged expense line (the deduction). Being a document step in shape, it moves nothing unattached, so control_agrees and Reachable.control_is_documents still hold with no new proof: Step.writeOff_unattached states its half of that. writeOff_within_bounds is the law the command's refusal enforces: a write-off of at most what the document is owed, read over the date-sum docSum ... through D (B-38 fixed that sum, not standing), leaves what is owed through the write-off's day at or above zero. through_append lets the write-off's own two lines be read separately. Both are listed in Audit.lean; just prove holds (standard axioms only, no sorry).
101 lines
3.6 KiB
Lean4
101 lines
3.6 KiB
Lean4
import Wanderbooks
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/-! `just prove` runs this file: each headline theorem's axioms are printed,
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and must be only Lean's standard three (`propext`, `Quot.sound`,
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`Classical.choice`) or fewer. No `sorryAx`, nothing assumed. -/
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open Wanderbooks
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#print axioms Accepted.net_zero
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#print axioms sum_movements
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#print axioms movement_with_reversal
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#print axioms accepted_reversal_iff
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#print axioms accounting_equation
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#print axioms balance_after_line
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#print axioms trial_balance_iff
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#print axioms closingEntry_net
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#print axioms closingEntry_zeroes
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#print axioms closingEntry_accepted
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#print axioms net_closings_is_net_income
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#print axioms plugLast_total
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#print axioms plugLast_keeps
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#print axioms runPart_telescopes
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#print axioms closePart_total
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#print axioms trueUp_total
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#print axioms trueUp_running
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#print axioms closePart_eq_trueUp
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#print axioms cumulative_drift
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#print axioms statement_after_close
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#print axioms statement_unmoved_by_close
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#print axioms Reachable.inv
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#print axioms Reachable.books_net_zero
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#print axioms Reachable.trial_balance
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#print axioms Reachable.trial_balance_through
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#print axioms Reachable.accounting_equation
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#print axioms Reachable.accounting_equation_through
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#print axioms Steps.extends
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#print axioms Steps.frozen
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#print axioms close_zeroes
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#print axioms close_credits_net_income
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#print axioms statements_add_up
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#print axioms Apportion.ranks_perm
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#print axioms Apportion.apportion_sum
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#print axioms Apportion.apportion_sum_of_shortfall
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#print axioms Apportion.rem_pos_of_rank_lt
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#print axioms Apportion.apportion_drift
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#print axioms Apportion.allocW_sum
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#print axioms Apportion.allocW_drift
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#print axioms Apportion.allocW_cumulative_drift
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#print axioms Apportion.allocW_cumulative_total
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#print axioms Step.record_changes_no_figure
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#print axioms Reachable.records
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#print axioms net_splits_by_flow
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#print axioms applyCash_conserves
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#print axioms applyCash_exhausts
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#print axioms applyCash_neg
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#print axioms entry_flows_sum
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#print axioms flows_reversal
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#print axioms constructive_nets
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#print axioms constructive_neg
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#print axioms constructive_sections_net
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#print axioms stmt_flows_sum
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#print axioms stmt_flows_reversal
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#print axioms cashflow_sections_sum_to_cash_change
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#print axioms secNet_cash_is_movement
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#print axioms operating_reconciliation_ties
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#print axioms operating_reconciliation_ties_all
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#print axioms cashflow_reversal_nets
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#print axioms Reachable.cashflow_foots
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#print axioms Reachable.cashflow_is_change_in_cash
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#print axioms reverseTarget_involutive
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#print axioms capitalTarget_odd
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#print axioms partyTarget_odd
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#print axioms sumOver_movement_reversal
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#print axioms Prorate.cum_mono
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#print axioms Prorate.cum_le
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#print axioms Prorate.cum_full
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#print axioms Prorate.parts_telescope
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#print axioms Prorate.prorate_total
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#print axioms Prorate.prorate_nonneg
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#print axioms Prorate.part_within_a_unit
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#print axioms Prorate.roundUnit_near
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#print axioms Prorate.roundUnit_scale
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#print axioms Prorate.cum_near
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#print axioms Prorate.cum_dvd
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#print axioms Prorate.part_near
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#print axioms Prorate.chargeMid_eq_cum
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#print axioms Prorate.chargeLast_eq_cum
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#print axioms Prorate.chargeLast_start
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#print axioms Prorate.chargeLast_mono
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#print axioms Prorate.kernel_parts_total
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#print axioms Prorate.kernel_parts_nonneg
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#print axioms Documents.control_agrees
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#print axioms Documents.control_agrees_through
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#print axioms Documents.Step.document_unattached
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#print axioms Documents.Step.reverse_moves
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#print axioms Documents.reverse_twice
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#print axioms Documents.Reachable.unattached_zero
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#print axioms Documents.Reachable.control_is_documents
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#print axioms Documents.Step.writeOff_unattached
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#print axioms Documents.writeOff_within_bounds
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