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

Drop append left

Fin.drop_append_left

Plain-language statement

Version of drop_addCases_left that specializes addCases to append.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Drop append right

Fin.drop_append_right

Plain-language statement

Version of drop_addCases_right that specializes addCases to append.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Drop update of ge

Fin.drop_update_of_ge

Plain-language statement

drop commutes with update for indices at or after the drop point.

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

Induction append left

Fin.induction_append_left

Plain-language statement

Fin.induction on m + n for i ≤ m steps is equivalent to Fin.induction on m for i steps.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Induction append right

Fin.induction_append_right

Plain-language statement

Fin.induction on m + n for m + i steps is equivalent to Fin.induction on n on i steps on the result of Fin.induction on m.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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