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One statement with three proofs

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

proven

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    Natural Language Statement

    Theorem

    Statement 2 is the conclusion of three different proofs: one sibling proof from statement 1 of this concept, and two proofs whose assumptions live in other concepts. Three turnstiles have to fan into a single dock.

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

    This concept declares 2 statements. Each proof establishes one of them relative to its assumptions.

    1 s1 proven

    2 s2 proven

    Lean source view on GitHub

    1import Mathlib.Data.Nat.Notation
    2import Lax771644.Foundations
    3
    4/-!
    5---
    6title: One statement with three proofs
    7type: theorem
    8---
    9Statement 2 is the conclusion of three different proofs: one sibling proof from
    10statement 1 of this concept, and two proofs whose assumptions live in other
    11concepts. Three turnstiles have to fan into a single dock.
    12
    13# Formalization notes
    14
    15Statement 2 descends far enough that any of the three routes reaches it.
    16-/
    17
    18namespace Lax771644.ThreeProofsOneStatement
    19
    20/-- Descent from stage 72 to stage 71. -/
    21axiom s1 : Foundations.Descent 72 71
    22
    23/-- Descent from stage 72 down to stage 5. -/
    24axiom s2 : Foundations.Descent 72 5
    25
    26end Lax771644.ThreeProofsOneStatement
    27
    Show ProofShow Proof 1Show Proof 2Show Proof 3
    Formalization notes

    Statement 2 descends far enough that any of the three routes reaches it.

    Builds on
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    From Mathlib

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