Lax Lean Archive

SAT belongs to NP

Lax429075.SATinNP · concepts/Lax429075/SATinNP.lean · lax-429075

proven

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    Natural Language Statement

    Lemma

    A polynomial time verifier checks a satisfying assignment of polynomial length.

    Concept map
    7 concepts
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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

    Each proof establishes this claim relative to its assumptions.

    In the paper

    • page 2 of this submission's paper

    Lean source view on GitHub

    1import Lax429075.Satisfiability
    2import Lax434930.NondeterministicPolynomialTime
    3
    4/-!
    5---
    6title: SAT belongs to NP
    7type: lemma
    8---
    9A polynomial time verifier checks a satisfying assignment of polynomial length.
    10-/
    11
    12namespace Lax429075.SATinNP
    13
    14open Satisfiability Lax434930.NondeterministicPolynomialTime
    15
    16axiom membership : SAT ∈ NP
    17
    18end Lax429075.SATinNP
    19
    Show Proof
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