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Persistent queues — false conclusion

Lax755887.PersistentQueueClaim · concepts/Lax755887/PersistentQueueClaim.lean · lax-755887

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    Natural Language Statement

    Theorem

    This deliberately false application claim is derived only from the unchecked contract. A checked conditional derivation must not mark this statement proven.

    Concept map
    2 concepts
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    Open claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

    Each proof establishes this claim relative to its assumptions.

    Lean source view on GitHub

    1import Lax755887.PersistentQueue
    2
    3/-!
    4---
    5title: Persistent queues — false conclusion
    6type: theorem
    7---
    8This deliberately false application claim is derived only from the unchecked contract. A checked conditional derivation must not mark this statement proven.
    9-/
    10
    11namespace Lax755887.PersistentQueueClaim
    12
    13open Lax755887.PersistentQueue
    14
    15axiom repeated_dequeue_linear :
    16 ∃ C : ℕ, ∀ n, totalWork (List.replicate (n + 1) (dequeue n)) ≤ C * (n + 1)
    17
    18end Lax755887.PersistentQueueClaim
    19
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