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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 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.

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Showing 1,441 to 1,446 of 2,569 results.

Project-declaredLean 4.31.0

Jacobi Theta₂ half mul apply tendsto at Im Infty

jacobiTheta₂_half_mul_apply_tendsto_atImInfty

Project documentation

H₂, H₃, H₄ are modular forms of weight 2 and level Γ(2) -/ noncomputable def H₂_SIF : SlashInvariantForm (Γ 2) 2 where toFun := H₂ slash_action_eq' := slashaction_generators_Γ2 H₂ (2 : ℤ) H₂_α_action H₂_β_action H₂_negI_action noncomputable def H₃_SIF : SlashInvariantForm (Γ 2) 2 where toFun := H₃ slash_action_eq' := slashaction_generators_Γ2 H₃ (2 : ℤ) H...

sphere packingFourier analysismodular forms

Source project: Sphere Packing in Dimension 8

Person-level attribution pending.

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Project-declaredLean 4.31.0

Almost johnson choose 2 elimed

JohnsonBound.almost_johnson_choose_2_elimed

Mathematical statement

choose_2-free form of almost_johnson.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Almost johnson lhs div B card

JohnsonBound.almost_johnson_lhs_div_B_card

Mathematical statement

LHS of the almost-Johnson bound divided by |B| in terms of e and d.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

D eq sum

JohnsonBound.d_eq_sum

Mathematical statement

The average distance d expressed as a double sum of coordinate disagreements.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Johnson condition strong implies 2 le B card

JohnsonBound.johnson_condition_strong_implies_2_le_B_card

Mathematical statement

The strong Johnson condition forces the code to have at least two codewords.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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