Documentation

MIPRE.Background.LIDT.MIPStarRE.Quantum.FiniteMatrix

Finite-dimensional matrix layer for the MIP*=RE project #

This aggregate module preserves the historical MIPStarRE.Quantum.FiniteMatrix import path while the underlying facts are organized into mathematical leaves:

-- Vendoring compile fix (Lean v4.33): the vendored tree is built with the pre-v4.33 -- transparency behaviour (backward.isDefEq.respectTransparency false), the option -- Mathlib sets on declarations affected by Lean v4.33's check; see README.md. set_option backward.isDefEq.respectTransparency false basic operator and trace facts, positive-semidefinite order and cone facts, real trace-pairing representation, block-diagonal order facts, and normalized trace/projector material.

References #

The declarations re-exported here collect the finite-dimensional matrix and PSD facts from Mathlib for the project's quantum layer and the LDT development formalizing references/ldt-paper/.