FTH0040canonicalv1tail_agree_downward (theorem)
/-- [I.L07] Tail Agreement Propagation (single input): If two tower-coherent stagewise functions agree at stage d₀ for input n, then they agree at ALL stages k ≤ d₀ for input n. This is the "downward" direction: agreement at a fine stage implies agreement at all coarser stages. Proof: By tower coherence, f₁(n, d₀) reduced to stage k equals f₁(n, k). If f₁(n, d₀) = f₂(n, d₀), then reducing both sides gives f₁(n, k) = f₂(n, k). -/
Formalization
Identifiers
Aliases & legacy IDs
tail_agree_downwardtail-agree-downwardTauLib.BookI.Holomorphy.IdentityTheorem::tail_agree_downwardRelease lines
corpus_v2corpus_v3_workingVersion & History
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