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

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Project-declaredLean 4.31.0

Ps exists p nonzero

ps_exists_p_nonzero

Plain-language statement

Existence of P with B = P * A when both A and B are nonzero.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Ps exists qx of cancel

ps_exists_qx_of_cancel

Plain-language statement

After cancellation in X, a large subset of evaluation points witnesses P = quot_y.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Ps exists qy of cancel

ps_exists_qy_of_cancel

Plain-language statement

After cancellation in Y, a large subset of evaluation points witnesses P = quot_x.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Ps nat degree resultant le

ps_nat_degree_resultant_le

Plain-language statement

The degree of resultant(B, A, n, m) is at most m · degX(B) + n · degX(A).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Ps resultant dvd pow eval x

ps_resultant_dvd_pow_eval_x

Plain-language statement

If B(x, Y) = Q · A(x, Y), then (X - x)^(natDegreeY A) divides resultant(B, A).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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