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Separate leader models and their incompatibility

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

proven

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    Natural Language Statement

    Theorem

    There is a model of each property separately, but no common model. All three assertions are proved independently of the existence contract.

    Concept map
    2 concepts
    100%
    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

    This concept declares 3 statements. Each proof establishes one of them relative to its assumptions.

    1 equivariance_has_model proven

    2 no_common_model proven

    3 uniqueness_has_model proven

    Lean source view on GitHub

    1import Lax755887.LeaderElection
    2
    3/-!
    4---
    5title: Separate leader models and their incompatibility
    6type: theorem
    7---
    8There is a model of each property separately, but no common model. All three assertions are proved independently of the existence contract.
    9-/
    10
    11namespace Lax755887.LeaderControls
    12
    13open Lax755887.LeaderElection
    14
    15axiom uniqueness_has_model : ∃ run, UniqueLeader run
    16axiom equivariance_has_model : ∃ run, Equivariant run
    17axiom no_common_model : ¬ ∃ run, UniqueLeader run ∧ Equivariant run
    18
    19end Lax755887.LeaderControls
    20
    Show ProofShow ProofShow Proof
    Builds on
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    From Mathlib

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