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

1 topic
Project-declaredLean 4.31.0

Psi bijective

ArkLib.Lattices.CyclotomicModulus.psi_bijective

Plain-language statement

ψ is bijective (Hachi [NOZ26, §3, Theorem 2]): injective (from the non-degenerate trace pairing, psi_injective) and a cardinality match |(R_q^H)^{d/k}| = (q^k)^{d/k} = q^d = |R_q|.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record