Source-pinned research
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This index contains 2,569 research declarations. Search 10,000 more complete Mathlib declarations.
2569 results
RingSwitching.SumcheckPhase.coreInteraction_perfectCompleteness
Plain-language statement
Perfect completeness for large-field reduction (Sumcheck ++ FinalSum)
Source project: ArkLib
Person-level attribution pending.
RoundConsistency.generalised_round_consistency_completeness
Plain-language statement
Completeness of the round consistency check. Given a polynomial f, challenge γ, and n-th roots of unity ω, when f is honestly evaluated at the scaled points {ω i * s₀}, the round consistency check succeeds with the value (foldNth n f γ).eval (s₀^n). This establishes that the Lagrange interpolant through the evaluation points matches the n-wa...
Source project: ArkLib
Person-level attribution pending.
rpow_mul_neg_rpow_eq_supportProj
Plain-language statement
For PSD A and γ ≠ 0, the product A^γ * A^{-γ} equals the support projection of A. This is because x^γ * x^{-γ} = if x = 0 then 0 else 1 for x ≥ 0.
Source project: quantumInfo
Person-level attribution pending.
rudin_exp_ineq
Plain-language statement
Rudin's inequality, exponential form.
Source project: Arithmetic Progressions Almost Periodicity
Person-level attribution pending.
rudin_ineq
Plain-language statement
Rudin's inequality, usual form.
Source project: Arithmetic Progressions Almost Periodicity
Person-level attribution pending.
runObs_liftComp
Plain-language statement
runObs on a lifted base-spec computation: the trace is 1 (monoid identity).
Source project: VCVio
Person-level attribution pending.