Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 2,569 research declarations. Search 10,000 more complete Mathlib declarations.

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2569 results

Project-declaredLean 4.8.0

Snap dist

snap_dist

Plain-language statement

Snap produces a close oracle

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Snaps prob

snaps_prob

Plain-language statement

Snapping doesn't changed prob for close p

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Soundness p

soundness_p

Plain-language statement

Soundness for any valid parameters

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Soundness

soundness'

Plain-language statement

Bob wins the debate with probability ≥ 8/15

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.32.0

Basis eq mfderiv model Diffeo single

Space.basis_eq_mfderiv_modelDiffeo_single

Plain-language statement

The derivative of modelDiffeo provides an equivalence between Space d and EuclideanSpace ℝ (Fin d). This equivalences takes the basis of EuclideanSpace ℝ (Fin d) to the basis of Space d, and vice versa.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Constant Time dist Space Deriv

Space.constantTime_distSpaceDeriv

Project documentation

Distributions on Time × Space d from distributions on Space d. These distributions are constant in time. -/ def constantTime {M : Type} [NormedAddCommGroup M] [NormedSpace ℝ M] {d : ℕ} : ((Space d) →d[ℝ] M) →ₗ[ℝ] (Time × Space d) →d[ℝ] M where toFun f := f ∘L timeIntegralSchwartz map_add' f g := by ext η simp map_smul' c f := by ext η simp lemma const...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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