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An open statement nothing proves

Lax771644.OpenRoot · concepts/Lax771644/OpenRoot.lean · lax-771644

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    Natural Language Statement

    Theorem

    A single-statement concept with no proof at all. Everything downstream of it stays unproven, which is what the next two concepts are for.

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

    Each proof establishes this claim relative to its assumptions.

    No proof in the archive yet — this claim is open.

    Lean source view on GitHub

    1import Mathlib.Data.Nat.Notation
    2import Lax771644.Foundations
    3
    4/-!
    5---
    6title: An open statement nothing proves
    7type: theorem
    8---
    9A single-statement concept with no proof at all. Everything downstream of it
    10stays unproven, which is what the next two concepts are for.
    11
    12# Formalization notes
    13
    14No proof module mentions this statement as a conclusion.
    15-/
    16
    17namespace Lax771644.OpenRoot
    18
    19/-- Descent from stage 400 to stage 390. Deliberately left unproven. -/
    20axiom openRung : Foundations.Descent 400 390
    21
    22end Lax771644.OpenRoot
    23
    Formalization notes

    No proof module mentions this statement as a conclusion.

    Builds on
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    From Mathlib

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