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Sibling proof with the conclusion in the middle

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

proven

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    Natural Language Statement

    Theorem

    Statement 2 is proved from statements 1 and 3, so the turnstile sits below the middle dock with one assumption arriving from the left and one from the right.

    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 s1 proven

    2 s2 proven

    3 s3 proven

    Lean source view on GitHub

    1import Mathlib.Data.Nat.Notation
    2import Lax771644.Foundations
    3
    4/-!
    5---
    6title: Sibling proof with the conclusion in the middle
    7type: theorem
    8---
    9Statement 2 is proved from statements 1 and 3, so the turnstile sits below the
    10middle dock with one assumption arriving from the left and one from the right.
    11
    12# Formalization notes
    13
    14Again the same ladder in a fresh band of rungs.
    15-/
    16
    17namespace Lax771644.SiblingConclusionMiddle
    18
    19/-- Descent from stage 32 to stage 31. -/
    20axiom s1 : Foundations.Descent 32 31
    21
    22/-- Descent from stage 32 to stage 30, the composite of its two neighbours. -/
    23axiom s2 : Foundations.Descent 32 30
    24
    25/-- Descent from stage 31 to stage 30. -/
    26axiom s3 : Foundations.Descent 31 30
    27
    28end Lax771644.SiblingConclusionMiddle
    29
    Show ProofShow ProofShow Proof
    Formalization notes

    Again the same ladder in a fresh band of rungs.

    Builds on
    Used by

    none

    From Mathlib

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