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

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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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Project-declaredLean 4.31.0

Ps resultant dvd pow eval y

ps_resultant_dvd_pow_eval_y

Plain-language statement

If B(X, y) = Q · A(X, y), then (X - y)^(degreeX A) divides the swapped resultant.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Ps resultant map

ps_resultant_map

Plain-language statement

The resultant commutes with ring homomorphisms.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Ps sylvester map

ps_sylvester_map

Plain-language statement

The Sylvester matrix commutes with ring homomorphisms.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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