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 44 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.32.0

Of Field Op List normal Order insert

FieldSpecification.WickAlgebra.ofFieldOpList_normalOrder_insert

Plain-language statement

Within a proto-operator algebra, N(φφ₀φ₁…φₙ) = s • N(φ₀…φₖ₋₁φφₖ…φₙ), where s is the exchange sign for φ and φ₀…φₖ₋₁.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Dappend eq add Cases

Fin.dappend_eq_addCases

Plain-language statement

dappend is equal to addCases. Marked as csimp to allow for switching to the addCases implementation during execution.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Happend heq right

Fin.happend_heq_right

Plain-language statement

Access into a heterogeneous append on the right, by value: if m ≤ ↑j, then happend u v j is (heterogeneously) the (↑j - m)-th entry of v.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Almost johnson choose 2 elimed

JohnsonBound.almost_johnson_choose_2_elimed

Plain-language 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

Plain-language 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

Plain-language 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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