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

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Project-declaredLean 4.32.0

Repr conj Chiral Covector

SUSY.N1.repr_conjChiralCovector

Plain-language statement

Component formula for the holomorphic covector conjugate: the ![I] basis component of conjChiralCovector t is the complex conjugate of the ![I] component of t.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

To Field conj Scalar

SUSY.N1.toField_conjScalar

Plain-language statement

For scalar tensors, toField of the normalized tensor conjugate is the complex conjugate of toField.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Chain rule T beta

Temperature.chain_rule_T_beta

Plain-language statement

Chain rule for β(T) : d/dT F(β(T)) = F'(β(T)) * (-1 / (kB * T^2)), within Ioi 0.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Verifier id knowledge Soundness

Verifier.id_knowledgeSoundness

Plain-language statement

The identity / trivial verifier is perfectly knowledge sound.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Θ₂ imag axis re pos

Θ₂_imag_axis_re_pos

Plain-language statement

Θ₂(It) has positive real part for t > 0. Proof: Each term Θ₂_term n (It) = exp(-π(n+1/2)²t) is a positive real. The sum of positive reals is positive.

sphere packingFourier analysismodular forms

Source project: Sphere Packing in Dimension 8

Person-level attribution pending.

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